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Professor Michael Cowling
Emeritus Professor

Professor Michael Cowling

  • BSc from Australian National University, 1970
  • Ph D from Flinders University, 1974

 

Science
School of Mathematics & Statistics

I have held positions in universities in Canada. the United States of America, and Italy. I was Professor of Pure Mathematics at UNSW from 1983 to 2020, and am now Emeritus Professor at UNSW. 
Phone
+61-2-9385 9920
E-mail
m.cowling@unsw.edu.au
Location
School of Mathematics and Statistics Room 5113 The Red Centre UNSW NSW 2052
  • Books | 2001
    Cherix P-A; Cowling M; Jolissaint P; Julg P; Valette A, 2001, Groups with the Haagerup Property, Springer Basel, http://dx.doi.org/10.1007/978-3-0348-0906-1
  • Book Chapters | 2013
    Cowling MG; Martini A, 2013, 'Sub-Finsler geometry and finite propagation speed', in Picardello MA (ed.), Trends in Harmonic Analysis, Springer, pp. 147 - 206, http://dx.doi.org/10.1007/978-88-470-2853-1_8
    Book Chapters | 2012
    Cowling MG, 2012, 'Isomorphisms of the Figa-Talamanca-Herz algebras Ap(G) for connected Lie groups G', in Zannier U (ed.), Colloquium De Giorgi 2009, Volume 3, Scuola Normale Superiore Pisa, pp. 1 - 18, http://dx.doi.org/10.1007/978-88-7642-387-1_1
    Book Chapters | 2011
    Cowling MG, 2011, 'Calculus on Nilpotent Lie Groups', in Farb B; Fisher D (ed.), Geometry, Rigidity, and Group Actions, edn. Original, The University of Chicago Press, Chicago, pp. 285 - 295
    Book Chapters | 2010
    Cowling M, 2010, 'Unitary and Uniformly Bounded Representations Of Some Simple Lie Groups', in Harmonic Analysis and Group Representation, Springer Berlin Heidelberg, pp. 50 - 128, http://dx.doi.org/10.1007/978-3-642-11117-4_2
    Book Chapters | 2008
    Cowling MG, 2008, 'Applications of representation theory to harmonic analysis of Lie groups (and vice versa)', in Cowling M; Kashiwara M; Vogan DA; Frenkel E; Valette A; Wallach NR (ed.), Lectures in Mathematics, edn. LECTURE NOTES IN MATHEMATICS, Springer, Germany, pp. 1 - 50, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000254026300001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a
    Book Chapters | 2007
    Cap A; Cowling MG; de Mari F; Eastwood M; McCallum R, 2007, 'The Heisenberg group, SL(3,R), and rigidity', in Harmonic analysis, group representations, automorphic forms and invariant theory, edn. Lect. Notes Ser. Inst. Math. Sci. Natl. Univ. Singap., World Sci. Publ., Hackensack, NJ, pp. 41 - 52, http://dx.doi.org/10.1142/9789812770790_0002
    Book Chapters | 2001
    Cherix P-A; Cowling M; Valette A, 2001, 'Classification of Lie Groups with the Haagerup Property', in Groups with the Haagerup Property, Birkhäuser Basel, pp. 41 - 61, http://dx.doi.org/10.1007/978-3-0348-8237-8_4
    Book Chapters | 2001
    Cherix P; Cowling MG; Valette A, 2001, 'Classification of Lie groups with the Haagerup property', in Groups with the Haagerup Property, edn. Original, Birkhauser Verlag, Switzerland, pp. 41 - 60
    Book Chapters | 2001
    Cowling M, 2001, 'The Radial Haagerup Property', in Groups with the Haagerup Property, Birkhäuser Basel, pp. 63 - 84, http://dx.doi.org/10.1007/978-3-0348-8237-8_5
    Book Chapters | 2001
    Cowling MG, 2001, 'The radial Haagerup property', in Groups with the Haagerup Property, edn. Original, Birkhauser Verlag, Switzerland, pp. 63 - 82
    Book Chapters | 1990
    Cowling M; Mauceri G, 1990, 'Surface measures—maximal functions and Fourier transforms', in Miniconference on Operators in Analysis (Sydney, 1989), edn. Proc. Centre Math. Anal. Austral. Nat. Univ., Austral. Nat. Univ., Canberra, pp. 28 - 37
    Book Chapters | 1990
    Cowling MG; Gaudry GI; Qian T, 1990, 'A note on martingales with respect to complex measures', in Miniconference on Operators in Analysis (Sydney, 1989), edn. Proc. Centre Math. Anal. Austral. Nat. Univ., Austral. Nat. Univ., Canberra, pp. 10 - 27
    Book Chapters | 1988
    Cowling M, 1988, 'Rigidity, von Neumann algebras, and semisimple groups', in Miniconferences on harmonic analysis and operator algebras (Canberra, 1987), edn. Proc. Centre Math. Anal. Austral. Nat. Univ., Austral. Nat. Univ., Canberra, pp. 51 - 57
    Book Chapters | 1987
    Cowling M; Disney S, 1987, 'Oscillatory integrals', in Miniconference on harmonic analysis and operator algebras (Canberra, 1987), edn. Proc. Centre Math. Anal. Austral. Nat. Univ., Austral. Nat. Univ., Canberra, pp. 45 - 54
    Book Chapters | 1986
    Cowling M, 1986, 'On isomorphisms of algebras of operators', in Miniconference on operator theory and partial differential equations (North Ryde, 1986), edn. Proc. Centre Math. Anal. Austral. Nat. Univ., Austral. Nat. Univ., Canberra, pp. 11 - 20
    Book Chapters | 1986
    Cowling MG; Mauceri G, 1986, 'Fourier transform of surface carried measures', in Miniconference on operator theory and partial differential equations (North Ryde, 1986), edn. Proc. Centre Math. Anal. Austral. Nat. Univ., Austral. Nat. Univ., Canberra, pp. 142 - 147
    Book Chapters | 1985
    Cowling M, 1985, 'Square functions in Banach spaces', in Miniconference on linear analysis and function spaces (Canberra, 1984), edn. Proc. Centre Math. Anal. Austral. Nat. Univ., Austral. Nat. Univ., Canberra, pp. 177 - 184
    Book Chapters | 1984
    Cowling M; Koranyi A, 1984, 'Harmonic analysis on Heisenberg type groups from a geometric viewpoint', in Lie group representations, III (College Park, Md., 1982/1983), Springer, Berlin, pp. 60 - 100, http://dx.doi.org/10.1007/BFb0072337
    Book Chapters | 1983
    Cowling M; Price JF, 1983, 'Generalisations of Heisenberg’s inequality', in Harmonic analysis (Cortona, 1982), Springer, Berlin, pp. 443 - 449, http://dx.doi.org/10.1007/BFb0069174
    Book Chapters | 1983
    Cowling M, 1983, 'Harmonic analysis on some nilpotent Lie groups (with application to the representation theory of some semisimple Lie groups)', in Topics in modern harmonic analysis, Vol. I, II (Turin/Milan, 1982), Ist. Naz. Alta Mat. Francesco Severi, Rome, pp. 81 - 123
    Book Chapters | 1983
    Cowling MG, 1983, 'Pointwise behavior of solutions to Schrodinger equations', in Harmonic analysis (Cortona, 1982), Springer, Berlin, pp. 83 - 90, http://dx.doi.org/10.1007/BFb0069152
    Book Chapters | 1982
    Cowling M, 1982, 'Unitary and uniformly bounded representations of some simple Lie groups', in Harmonic analysis and group representations, Liguori, Naples, pp. 49 - 128
    Book Chapters | 1982
    Cowling MG; Mantero AM, 1982, 'Examples of twisted convolution operators', in Harmonic Analysis, Springer Berlin Heidelberg, pp. 210 - 216, http://dx.doi.org/10.1007/bfb0093290
    Book Chapters | 1982
    Cowling MG; Mantero AM, 1982, 'Examples of twisted convolution operators', in Harmonic analysis (Minneapolis, Minn., 1981), edn. Lecture Notes in Math., Springer, Berlin-New York, pp. 212 - 216
    Book Chapters | 1979
    Cowling M, 1979, 'Fractional integration on nilpotent groups and representations of semisimple groups', in Harmonic analysis in Euclidean spaces (Proc. Sympos. Pure Math., Williams Coll., Williamstown, Mass., 1978), Part 2, edn. Proc. Sympos. Pure Math., XXXV, Part, Amer. Math. Soc., Providence, R.I., pp. 395 - 402
    Book Chapters | 1979
    Cowling M, 1979, 'Sur les coefficients des representations unitaires des groupes de Lie simples', in Analyse harmonique sur les groupes de Lie (Sem., Nancy-Strasbourg 1976–1978), II, edn. Lecture Notes in Math., Springer, Berlin, pp. 132 - 178
    Book Chapters | 1977
    Cowling M, 1977, 'Differential operators on nilpotent Lie groups', in Symposia Mathematica, Vol. XXII (Convegno sull’Analisi Armonica e Spazi di Funzioni su Gruppi Localmente Compatti, INDAM, Rome, 1976), Academic Press, London, pp. 449 - 451
  • Journal articles | 2023
    Cowling MG; Ganji M; Ottazzi A; Schmalz G, 2023, 'CR embeddings of CR manifolds', Annali di Matematica Pura ed Applicata, 202, pp. 287 - 291, http://dx.doi.org/10.1007/s10231-022-01241-7
    Journal articles | 2023
    Cowling MG, 2023, 'Decay estimates for matrix coefficients of unitary representations of semisimple Lie groups', Journal of Functional Analysis, 285, pp. 110061 - 110061, http://dx.doi.org/10.1016/j.jfa.2023.110061
    Journal articles | 2022
    Bruno T; Cowling MG; Nicola F; Tabacco A, 2022, 'ESTIMATES FOR MATRIX COEFFICIENTS OF REPRESENTATIONS', American Journal of Mathematics, 144, pp. 943 - 965, http://dx.doi.org/10.1353/ajm.2022.0020
    Journal articles | 2022
    Chen P; Cowling M; Hu G; Li J, 2022, 'Marcinkiewicz multipliers associated with the Kohn Laplacian on the Shilov boundary of the product domain in C2n', Mathematische Zeitschrift, 300, pp. 347 - 376, http://dx.doi.org/10.1007/s00209-021-02799-3
    Journal articles | 2020
    BENNETT J; BEZ N; BUSCHENHENKE S; COWLING MG; FLOCK TC, 2020, 'On the nonlinear brascamp-lieb inequality', Duke Mathematical Journal, 169, pp. 3291 - 3338, http://dx.doi.org/10.1215/00127094-2020-0027
    Journal articles | 2020
    Cowling MG; Li J; Ottazzi A; Wu Q, 2020, 'CONFORMAL AND CR MAPPINGS ON CARNOT GROUPS', Proceedings of the American Mathematical Society, Series B, 7, pp. 67 - 81, http://dx.doi.org/10.1090/bproc/48
    Journal articles | 2019
    Astengo F; Cowling MG; Di Blasio B, 2019, 'Uniformly bounded representations of SL(2,R)', Journal of Functional Analysis, 276, pp. 127 - 147, http://dx.doi.org/10.1016/j.jfa.2018.10.015
    Journal articles | 2019
    Cowling MG; Martini A; Müller D; Parcet J, 2019, 'The Hausdorff–Young inequality on Lie groups', Mathematische Annalen, 375, pp. 93 - 131, http://dx.doi.org/10.1007/s00208-018-01799-9
    Journal articles | 2018
    Astengo F; Cowling MG; Di Blasio B, 2018, 'Uniformly bounded representations and completely bounded multipliers of Sl(2,ℝ)', Advances in Operator Theory, 3, pp. 247 - 270, http://dx.doi.org/10.22034/aot.1707-1207
    Journal articles | 2018
    Ciatti P; Cowling M, 2018, 'The Levi Decomposition of a graded Lie algebra', Rivista di Matematica della Universita di Parma, 9, pp. 373 - 378, http://www.rivmat.unipr.it/vols/2018-9-2/index-vol9-2.html
    Journal articles | 2018
    Ciatti P; Cowling MG, 2018, 'On derivations of subalgebras of real semisimple Lie algebras', Annali di Matematica Pura ed Applicata, 197, pp. 233 - 259, http://dx.doi.org/10.1007/s10231-017-0677-9
    Journal articles | 2018
    Cowling MG; Hunt DC; Steele JD, 2018, 'George Szekeres 1911-2005', Historical Records of Australian Science, http://dx.doi.org/10.1071/HR18012
    Journal articles | 2017
    Bennett J; Bez N; Cowling MG; Flock TC, 2017, 'Behaviour of the Brascamp-Lieb constant', Bulletin of the London Mathematical Society, 49, pp. 512 - 518, http://dx.doi.org/10.1112/blms.12049
    Journal articles | 2017
    Casarino V; Cowling MG; Martini A; Sikora A, 2017, 'Spectral Multipliers for the Kohn Laplacian on Forms on the Sphere in Cn', Journal of Geometric Analysis, 27, pp. 3302 - 3338, http://dx.doi.org/10.1007/s12220-017-9806-3
    Journal articles | 2017
    Cowling MG; Ottazzi A, 2017, 'Structure of stratified groups I. Product decompositions', Journal of Lie Theory, 27, pp. 177 - 183
    Journal articles | 2016
    Ayre PJ; Cowling MG; Sukochev FA, 2016, 'Operator Lipschitz estimates in the unitary setting', Proceedings of the American Mathematical Society, 144, pp. 1053 - 1057, http://dx.doi.org/10.1090/proc/12833
    Journal articles | 2015
    Ciatti P; Cowling MG; Ricci F, 2015, 'Hardy and uncertainty inequalities on stratified Lie groups', Advances in Mathematics, 277, pp. 365 - 387, http://dx.doi.org/10.1016/j.aim.2014.12.040
    Journal articles | 2015
    Cowling MG; Ottazzi A, 2015, 'Conformal maps of carnot groups', Annales Academiae Scientiarum Fennicae Mathematica, 40, pp. 203 - 213, http://dx.doi.org/10.5186/aasfm.2015.4008
    Journal articles | 2015
    Cowling MG; Ottazzi A, 2015, 'Global contact and quasiconformal mappings of carnot groups', Conformal Geometry and Dynamics, 19, pp. 221 - 239, http://dx.doi.org/10.1090/ecgd/282
    Journal articles | 2011
    Cowling MG; Klima O; Sikora A, 2011, 'Spectral multipliers for the kohn sublaplacian on the sphere in C n', Transactions of the American Mathematical Society, 363, pp. 611 - 631, http://dx.doi.org/10.1090/S0002-9947-2010-04920-7
    Journal articles | 2011
    Cowling MG; Leinert M, 2011, 'Pointwise convergence and semigroups acting on vector-valued functions', Bulletin of the Australian Mathematical Society, 84, pp. 44 - 48, http://dx.doi.org/10.1017/S0004972710002030
    Journal articles | 2010
    Cowling MG; Demange B; Sundari M, 2010, 'Vector-valued distributions and Hardy’s uncertainty principle for operators', Revista Matematica Iberoamericana, 26, pp. 133 - 146, http://dx.doi.org/10.4171/RMI/597
    Journal articles | 2010
    Cowling MG; Escauriaza L; Kenig CE; Ponce G; Vega L, 2010, 'The Hardy uncertainty principle revisited', Indiana University Mathematics Journal, 59, pp. 2007 - 2025, http://dx.doi.org/10.1512/iumj.2010.59.4395
    Journal articles | 2010
    Cowling MG; Meda S; Setti AG, 2010, 'A weak type (1,1) estimate for a maximal operator on a group of isometries of a homogeneous tree', Colloquium Mathematicum, 118, pp. 223 - 232, http://dx.doi.org/10.4064/cm118-1-12
    Journal articles | 2006
    Capogna L; Cowling MG, 2006, 'Conformality and Q-harmonicity in Carnot groups', Duke Mathematical Journal, 135, pp. 455 - 479, http://dx.doi.org/10.1215/S0012-7094-06-13532-9
    Journal articles | 2006
    Cowling MG; Meda S, 2006, 'Estimates for kernels of intertwining operators on SL(n,R)', Journal of the Australian Mathematical Society, 81, pp. 105 - 120, http://dx.doi.org/10.1017/S144678870001466X
    Journal articles | 2006
    Cowling MG, 2006, 'Measure theory and automorphic representations', Bulletin of Kerala Mathematics Association, pp. 137 - 151
    Journal articles | 2005
    Cowling MG; De Mari F; Koranyi A; Reimann HM, 2005, 'Contact and conformal maps in parabolic geometry. I', Geometriae Dedicata, 111, pp. 65 - 86, http://dx.doi.org/10.1007/s10711-004-4231-8
    Journal articles | 2005
    Cowling MG; Dorofaeff B; Seeger A; Wright J, 2005, 'A family of singular oscillatory integral operators and failure of weak amenability', Duke Mathematical Journal, 127, pp. 429 - 486, http://dx.doi.org/10.1215/S0012-7094-04-12732-0
    Journal articles | 2004
    Astengo F; Cowling MG; Di Blasio B, 2004, 'The Cayley transform and uniformly bounded representations', Journal of Functional Analysis, 213, pp. 241 - 269, http://dx.doi.org/10.1016/j.jfa.2003.12.009
    Journal articles | 2004
    Cherix P; Cowling MG; Straub BP, 2004, 'Filter products of C0-semigroups and ultraproduct representations for Lie groups', Journal of Functional Analysis, 208, pp. 31 - 63, http://dx.doi.org/10.1016/j.jfa.2003.06.007
    Journal articles | 2003
    Cowling MG; Reimann HM, 2003, 'Quasiconformal mappings on Carnot groups: three examples', Contemporary Mathematics, 320, pp. 111 - 118, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000225061000009&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a
    Journal articles | 2002
    Bekka ME; Cowling MG, 2002, 'Some irreducible unitary representations of G(K) for a simple algebraic group G over an algebraic number field K', Mathematische Zeitschrift, 241, pp. 731 - 741, http://dx.doi.org/10.1007/s00209-002-0442-6
    Journal articles | 2002
    Cowling M; De Mari F; Koranyi A; Reimann HM, 2002, 'Contact and conformal maps on Iwasawa N groups', Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Serie IX. Matematica e Applicazioni, 13, pp. 219 - 232
    Journal articles | 2002
    Cowling MG; Garcia-Cuerva J; Gunawan H, 2002, 'Weighted estimates for fractional maximal functions related to spherical means', Bulletin of the Australian Mathematical Society, 66, pp. 75 - 90
    Journal articles | 2002
    Cowling MG; Giulini S; Meda S, 2002, 'Oscillatory multipliers related to the wave equation on noncompact symmetric spaces', Journal of the London Mathematical Society - Second Series, 66, pp. 691 - 709, http://dx.doi.org/10.1112/S0024610702003563
    Journal articles | 2002
    Cowling MG, 2002, 'Analysis on the sphere', Jurnal Matematika atau Pembelajarannya, VIII, pp. 179 - 183
    Journal articles | 2001
    Cowling M; Giulini S; Meda S, 2001, 'L-p-L-q estimates for functions of the Laplace-Beltrami operator on noncompact symmetric spaces. III', Annales de l'Institut Fourier, 51, pp. 1047 - 1069, http://dx.doi.org/10.5802/aif.1844
    Journal articles | 2001
    Cowling MG; Nevo A, 2001, 'Uniform estimates for spherical functions on complex semisimple Lie groups', Geometric and functional analysis, 11, pp. 900 - 932, http://dx.doi.org/10.1007/s00039-001-8220-x
    Journal articles | 2001
    Cowling MG; Sikora A, 2001, 'A spectral multiplier theorem for a sublaplacian on SU(2)', Mathematische Zeitschrift, 238, pp. 1 - 36, http://dx.doi.org/10.1007/PL00004894
    Journal articles | 2001
    Cowling MG; Tao T, 2001, 'Some light on Littlewood-Paley theory', Mathematische Annalen, 321, pp. 885 - 888, http://dx.doi.org/10.1007/s002080100256
    Journal articles | 2000
    Astengo F; Cowling MG; Di Blasio B; Sundari M, 2000, 'Hardy`s uncertainty principle on certain Lie groups', Journal of the London Mathematical Society - Second Series, 62, pp. 461 - 472, http://dx.doi.org/10.1112/S0024610700001186
    Journal articles | 2000
    Cowling MG; Meda S; Setti AG, 2000, 'Estimates for functions of the Laplace operator on homogeneous trees', Transactions of the American Mathematical Society, 352, pp. 4271 - 4293
    Journal articles | 2000
    Cowling MG; Sitaram A; Sundari M, 2000, 'Hardy`s uncertainty principle on semisimple groups', Pacific Journal of Mathematics, 192, pp. 293 - 296, http://dx.doi.org/10.2140/pjm.2000.192.293
    Journal articles | 1999
    Cowling MG; Meda S; Pasquale R, 1999, 'Riesz potentials and amalgams', Annales de l'Institut Fourier, 49, pp. 1345 - 1367, http://dx.doi.org/10.5802/aif.1720
    Journal articles | 1999
    Cowling MG; Meda S; Setti AG, 1999, 'Invariant operators on function spaces on homogeneous trees', Colloquium Mathematicum, pp. 53 - 61
    Journal articles | 1999
    Cowling MG; Qian T, 1999, 'A class of singlar integrals on the n-complex unit sphere', Science China-Mathematics, 42, pp. 1233 - 1245, http://dx.doi.org/10.1007/BF02876023
    Journal articles | 1999
    Cowling MG; Qian T, 1999, 'A class of singular integrals on the complex n-sphere', Science in China Series A - Mathematics, 42, pp. 1121 - 1140
    Journal articles | 1999
    Cowling MG; Setti AG, 1999, 'The range of the Helgason-Fourier transformation on homogeneous trees', Bulletin of the Australian Mathematical Society, 59, pp. 237 - 246
    Journal articles | 1998
    Cowling M; Dooley A; Koranyi A; Ricci F, 1998, 'An approach to symmetric spaces of rank one via groups of Heisenberg type', The Journal of Geometric Analysis, 8, pp. 199 - 237, http://dx.doi.org/10.1007/BF02921641
    Journal articles | 1998
    Cowling MG; Meda S; Setti AG, 1998, 'An overview of harmonic analysis on the group of isometries of a Homogeneous tree', Expositiones Mathematicae, 16, pp. 385 - 424
    Journal articles | 1998
    Cowling MG, 1998, 'The predual of the space of convolutors on a locally compact group', Bulletin of the Australian Mathematical Society, 57, pp. 409 - 414
    Journal articles | 1997
    Cowling M; Dorofaeff B, 1997, 'Random subgroups of Lie groups', Rendiconti del Seminario Matematico e Fisico di Milano, 67, pp. 95 - 101 (2000), http://dx.doi.org/10.1007/BF02930493
    Journal articles | 1997
    Cowling MG, 1997, 'Herz`s `Principe de majoration` and the Kunze-Stein phenomenon', Canadian Mathematical Society, pp. 73 - 88
    Journal articles | 1996
    Cowling MG; Doust IR; Mcintosh A; Yagi A, 1996, 'Banach space operators with bounded H^{infinity} functional calculus', Journal of the Australian Mathematical Society Series A - Pure Mathematics and Statistics, 60, pp. 51 - 89
    Journal articles | 1995
    Cowling MG; Giulini S; Meda S, 1995, 'Lp-Lq estimates for functions of the Laplace- Beltrami operator on noncompact symmetric spaces II', Journal of Lie Theory, pp. 1 - 14
    Journal articles | 1994
    Bekka M; Cowling M; de la Harpe P, 1994, 'Simplicity of the reduced C*-algebra of PSL(n,Z)', International Mathematics Research Notices, 1994, pp. 285ff. - approx. 7 pp. (electronic), http://dx.doi.org/10.1155/S1073792894000322
    Journal articles | 1994
    Bekka M; Cowling M; de la Harpe P, 1994, 'Some groups whose reduced C*-algebra is simple', Institut des Hautes Etudes Scientifiques. Publications Mathematiques, 80, pp. 117 - 134 (1995), http://dx.doi.org/10.1007/BF02698898
    Journal articles | 1994
    Cowling M; Giulini S; Hulanicki A; Mauceri G, 1994, 'Spectral multipliers for a distinguished Laplacian on certain groups of exponential growth', Studia Mathematica, 111, pp. 103 - 121, http://dx.doi.org/10.4064/sm-111-2-103-121
    Journal articles | 1993
    Cowling M; Giulini S; Meda S, 1993, 'Lp-Lq estimates for functions of the Laplace-Beltrami operator on noncompact symmetric spaces. I', Duke Mathematical Journal, 72, pp. 109 - 150, http://dx.doi.org/10.1215/S0012-7094-93-07206-7
    Journal articles | 1993
    Cowling M; Meda S, 1993, 'Harmonic Analysis and Ultracontractivity', Transactions of the American Mathematical Society, 340, pp. 733 - 733, http://dx.doi.org/10.2307/2154674
    Journal articles | 1993
    Cowling M; Meda S, 1993, 'Harmonic analysis and ultracontractivity', Transactions of the American Mathematical Society, 340, pp. 733 - 752, http://dx.doi.org/10.2307/2154674
    Journal articles | 1991
    Cowling M; Dooley AH; Korányi A; Ricci F, 1991, 'H-type groups and Iwasawa decompositions', Advances in Mathematics, 87, pp. 1 - 41, http://dx.doi.org/10.1016/0001-8708(91)90060-K
    Journal articles | 1991
    Cowling M; Gaudry G; Giulini S; Mauceri G, 1991, 'Weak type (1,1) estimates for heat kernel maximal functions on Lie groups', Transactions of the American Mathematical Society, 323, pp. 637 - 649, http://dx.doi.org/10.2307/2001548
    Journal articles | 1991
    Cowling M; Steger T, 1991, 'The irreducibility of restrictions of unitary representations to lattices', Journal fur die Reine und Angewandte Mathematik. [Crelle’s Journal], 420, pp. 85 - 98, http://dx.doi.org/10.1515/crll.1991.420.85
    Journal articles | 1990
    Cowling M; Disney S; Mauceri G; Müller D, 1990, 'Damping oscillatory integrals', Inventiones Mathematicae, 101, pp. 237 - 260, http://dx.doi.org/10.1007/BF01231503
    Journal articles | 1989
    Cowling M; Fendler G; Fournier JJF, 1989, 'Variants of Littlewood-Paley theory', Mathematische Annalen, 285, pp. 333 - 342, http://dx.doi.org/10.1007/BF01443522
    Journal articles | 1989
    Cowling M; Haagerup U, 1989, 'Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one', Inventiones Mathematicae, 96, pp. 507 - 549, http://dx.doi.org/10.1007/BF01393695
    Journal articles | 1989
    Cowling M; Meaney C, 1989, 'On a maximal function on compact Lie groups', Transactions of the American Mathematical Society, 315, pp. 811 - 822, http://dx.doi.org/10.2307/2001308
    Journal articles | 1989
    Cowling M; Zimmer RJ, 1989, 'Actions of lattices in Sp(1,n)', Ergodic Theory and Dynamical Systems, 9, pp. 221 - 237, http://dx.doi.org/10.1017/S0143385700004946
    Journal articles | 1989
    Cowling M, 1989, 'Rigidity for lattices in semisimple Lie groups: von Neumann algebras and ergodic actions', Universita e Politecnico di Torino. Seminario Matematico. Rendiconti, 47, pp. 1 - 37 (1991)
    Journal articles | 1988
    Cowling M; Haagerup U; Howe R, 1988, 'Almost L2 matrix coefficients', Journal fur die Reine und Angewandte Mathematik, 387, pp. 97 - 110, http://dx.doi.org/10.1515/crll.1988.387.97
    Journal articles | 1988
    Cowling M; Price JF; Sitaram A, 1988, 'A qualitative uncertainty principle for semisimple Lie groups', Australian Mathematical Society. Journal. Series A. Pure Mathematics and Statistics, 45, pp. 127 - 132, http://dx.doi.org/10.1017/S144678870003233X
    Journal articles | 1988
    Cowling M, 1988, 'On the characters of unitary representations', Australian Mathematical Society. Journal. Series A. Pure Mathematics and Statistics, 45, pp. 62 - 65, http://dx.doi.org/10.1017/S1446788700032262
    Journal articles | 1987
    Cowling M; Mauceri G, 1987, 'Oscillatory integrals and Fourier transforms of surface carried measures', Transactions of the American Mathematical Society, 304, pp. 53 - 68, http://dx.doi.org/10.2307/2000703
    Journal articles | 1986
    Cowling M; Mauceri G, 1986, 'Inequalities for some maximal functions. II', Transactions of the American Mathematical Society, 296, pp. 341 - 365, http://dx.doi.org/10.2307/2000578
    Journal articles | 1986
    Cowling M, 1986, 'On the Paley-Wiener theorem', Inventiones Mathematicae, 83, pp. 403 - 404, http://dx.doi.org/10.1007/BF01388969
    Journal articles | 1985
    Cowling M; Mauceri G, 1985, 'Inequalities for some maximal functions. I', Transactions of the American Mathematical Society, 287, pp. 431 - 455, http://dx.doi.org/10.2307/1999654
    Journal articles | 1984
    Cowling M; Fendler G, 1984, 'On representations in Banach spaces', Mathematische Annalen, 266, pp. 307 - 315, http://dx.doi.org/10.1007/BF01475581
    Journal articles | 1984
    Cowling MG; Price JF, 1984, 'Bandwidth versus time concentration: the Heisenberg-Pauli-Weyl inequality', SIAM Journal on Mathematical Analysis, 15, pp. 151 - 165, http://dx.doi.org/10.1137/0515012
    Journal articles | 1983
    Cowling M, 1983, 'Semigruppi negli spazi di Banach (Semigroups in Banach spaces)', Rendiconti del Seminario Matematico e Fisico di Milano, 53, pp. 27 - 33 (1986), http://dx.doi.org/10.1007/BF02924881
    Journal articles | 1983
    Cowling MG, 1983, 'Harmonic analysis on semigroups', Annals of Mathematics. Second Series, 117, pp. 267 - 283, http://dx.doi.org/10.2307/2007077
    Journal articles | 1982
    Cowling M; Mantero AM; Ricci F, 1982, 'Pointwise estimates for some kernels on compact Lie groups', Rendiconti del Circolo Matematico di Palermo. Serie II, 31, pp. 145 - 158, http://dx.doi.org/10.1007/BF02844350
    Journal articles | 1979
    Cowling M; Mauceri G, 1979, 'On maximal functions', Rendiconti del Seminario Matematico e Fisico di Milano, 49, pp. 79 - 87 (1981), http://dx.doi.org/10.1007/BF02925184
    Journal articles | 1979
    Cowling M; Rodway P, 1979, 'Restrictions of certain function spaces to closed subgroups of locally compact groups', Pacific Journal of Mathematics, 80, pp. 91 - 104, http://dx.doi.org/10.2140/pjm.1979.80.91
    Journal articles | 1979
    Cowling M, 1979, 'An application of Littlewood-Paley theory in harmonic analysis', Mathematische Annalen, 241, pp. 83 - 96, http://dx.doi.org/10.1007/BF01406711
    Journal articles | 1979
    Cowling M, 1979, 'The Fourier-Stieltjes algebra of a semisimple group', Colloquium Mathematicum, 41, pp. 89 - 94
    Journal articles | 1978
    Cowling M, 1978, 'Some applications of Grothendieck’s theory of topological tensor products in harmonic analysis', Mathematische Annalen, 232, pp. 273 - 285, http://dx.doi.org/10.1007/BF01351432
    Journal articles | 1978
    Cowling M, 1978, 'The Kunze-Stein phenomenon', Ann. Math. (2), 107, pp. 209 - 234, http://dx.doi.org/10.2307/1971142
    Journal articles | 1978
    Cowling M, 1978, 'The Plancherel formula for a group not of type $\rm I$', Unione Matematica Italiana. Bollettino. A. Serie V, 15, pp. 616 - 623
    Journal articles | 1977
    Cowling M, 1977, 'La synthese des convoluteurs de Lp de certains groupes pas moyennables', Boll. Un. Mat. Ital. A (5), 14, pp. 551 - 555
    Journal articles | 1977
    Cowling M, 1977, 'The Kunze-Stein phenomenon', Bulletin of the American Mathematical Society, 83, pp. 293 - 295, http://dx.doi.org/10.1090/S0002-9904-1977-14311-5
    Journal articles | 1976
    Cowling M, 1976, 'The Kunze-Stein phenomenon', Rendiconti del Seminario Matematico e Fisico di Milano, 46, pp. 35 - 41 (1978), http://dx.doi.org/10.1007/BF02925684
    Journal articles | 1976
    Cowling MG; Fournier JJF, 1976, 'Inclusions and noninclusion of spaces of convolution operators', Transactions of the American Mathematical Society, 221, pp. 59 - 95, http://dx.doi.org/10.1090/S0002-9947-1976-0493164-6
    Journal articles | 1975
    COWLING M, 1975, 'CONJECTURE OF STEIN,EM', NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 22, pp. A716 - A716, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1975AU83700051&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1
    Journal articles | 1975
    Cowling MG, 1975, 'Extension of Fourier Lp-Lq multipliers', Transactions of the American Mathematical Society, 213, pp. 1 - 33, http://dx.doi.org/10.1090/S0002-9947-1975-0390652-7
    Journal articles | 1975
    Cowling MG, 1975, 'Functions which are restrictions of Lp-multipliers', Transactions of the American Mathematical Society, 213, pp. 35 - 51, http://dx.doi.org/10.1090/S0002-9947-1975-0390653-9
    Journal articles | 1972
    Cowling MG, 1972, 'Extension of multipliers by periodicity', Bulletin of the Australian Mathematical Society, 6, pp. 263 - 285, http://dx.doi.org/10.1017/S000497270004449X
  • Working Papers | 2021
    Chen P; Cowling MG; Lee M-Y; Li J; Ottazzi A, 2021, Flag Hardy space theory on Heisenberg groups and applications, http://dx.doi.org, http://arxiv.org/abs/2102.07371v3
    Working Papers | 2020
    Ahrens J; Cowling MG; Martini A; Müller D, 2020, Quaternionic spherical harmonics and a sharp multiplier theorem on quaternionic spheres, http://dx.doi.org10.1007/s00209-019-02313-w, http://arxiv.org/abs/1612.04802v1
    Working Papers | 2019
    Bruno T; Cowling MG; Nicola F; Tabacco A, 2019, Estimates for matrix coefficients of representations, http://dx.doi.org, http://arxiv.org/abs/1906.02060v1
    Working Papers | 2018
    Cowling MG; Li J; Ottazzi A; Wu Q, 2018, Conformal and CR mappings on Carnot groups, http://dx.doi.org, http://arxiv.org/abs/1807.00994v2
    Working Papers | 2017
    Cowling MG; Kivioja V; Donne EL; Golo SN; Ottazzi A, 2017, From homogeneous metric spaces to Lie groups, http://dx.doi.orghttps://www.researchgate.net/publication/317218306_From_homogeneous_metric_spaces_to_Lie_groups
    Working Papers | 2013
    Andersen NB; Cowling MG, 2013, Rigidity of causal maps, http://dx.doi.org, http://arxiv.org/abs/1307.4903v1
  • Preprints | 2022
    Cowling MG; Fan Z; Li J; Yan L, 2022, Characterizations of product Hardy spaces on stratified groups by singular integrals and maximal functions, , http://arxiv.org/abs/2210.01265v1
    Preprints | 2022
    Cowling MG; Ganji M; Ottazzi A; Schmalz G, 2022, CR embeddings of CR manifolds, , http://arxiv.org/abs/2204.01174v1
    Preprints | 2022
    Cowling MG; Ganji M; Ottazzi A; Schmalz G, 2022, CR embeddings of nilpotent Lie groups, , http://arxiv.org/abs/2210.07515v1
    Preprints | 2022
    Cowling MG, 2022, Decay estimates for matrix coefficients of unitary representations of semisimple Lie groups, , http://arxiv.org/abs/2203.13989v2
    Preprints | 2021
    Chen P; Cowling MG; Lee M-Y; Li J; Ottazzi A, 2021, Flag Hardy space theory on Heisenberg groups and applications, , http://dx.doi.org/10.48550/arxiv.2102.07371
    Preprints | 2018
    Bennett J; Bez N; Buschenhenke S; Cowling MG; Flock TC, 2018, On the nonlinear Brascamp-Lieb inequality, , http://dx.doi.org/10.48550/arxiv.1811.11052
    Preprints | 2018
    Cowling MG; Li J; Ottazzi A; Wu Q, 2018, Conformal and CR mappings on Carnot groups, , http://dx.doi.org/10.48550/arxiv.1807.00994
    Preprints | 2018
    Cowling MG; Martini A; Müller D; Parcet J, 2018, The Hausdorff-Young inequality on Lie groups, , http://dx.doi.org/10.48550/arxiv.1807.04670
    Preprints | 2017
    Astengo F; Cowling M; Di Blasio B, 2017, Uniformly bounded representations of SL2R, , http://dx.doi.org/10.48550/arxiv.1706.09312
    Preprints | 2017
    Astengo F; Cowling MG; Di Blasio B, 2017, Uniformly bounded representations and completely bounded multipliers of SL(2,R), , http://dx.doi.org/10.48550/arxiv.1707.08329
    Preprints | 2017
    Ciatti P; Cowling MG, 2017, The Levi Decomposition of a Graded Lie Algebra, , http://dx.doi.org/10.48550/arxiv.1705.06727
    Preprints | 2017
    Cowling MG; Kivioja V; Donne EL; Golo SN; Ottazzi A, 2017, From homogeneous metric spaces to Lie groups, , http://dx.doi.org/10.48550/arxiv.1705.09648
    Preprints | 2016
    Bennett J; Bez N; Cowling MG; Flock TC, 2016, Behaviour of the Brascamp--Lieb constant, , http://dx.doi.org/10.48550/arxiv.1605.08603
    Preprints | 2016
    Ciatti P; Cowling M, 2016, On derivations of subalgebras of real semisimple Lie algebras, , http://dx.doi.org/10.48550/arxiv.1606.05620
    Preprints | 2015
    Casarino V; Cowling MG; Martini A; Sikora A, 2015, Spectral multipliers for the Kohn Laplacian on forms on the sphere in $\mathbb{C}^n$, , http://dx.doi.org/10.48550/arxiv.1501.02321
    Preprints | 2014
    Cowling MG; Ottazzi A, 2014, Global contact and quasiconformal mappings of Carnot groups, , http://dx.doi.org/10.48550/arxiv.1408.1778
    Preprints | 2013
    Ciatti P; Cowling MG; Ricci F, 2013, Hardy and uncertainty inequalities on stratified Lie groups, , http://dx.doi.org/10.48550/arxiv.1308.2373
    Preprints | 2013
    Cowling MG; Ottazzi A, 2013, Conformal maps of Carnot groups, , http://dx.doi.org/10.48550/arxiv.1312.6423
    Preprints | 2008
    Cowling MG; Demange B; Sundari M, 2008, Vector- valued distributions and Hardy's uncertainty principle for operators, , http://dx.doi.org/10.48550/arxiv.0805.1807
    Conference Papers | 2005
    Cowling MG; Sundari M, 2005, 'An uncertainty principle for operators', in 4th International Conference on Wavelet Analysis and its Applications, Macau SAR, China, pp. 43 - 46, presented at 4th International Conference on Wavelet Analysis and its Applications, Macau SAR, China, 30 November 2005 - 02 December 2005, http://dx.doi.org/10.1007/978-3-7643-7778-6_5
    Preprints | 2002
    Cowling M; Dorofaeff B; Seeger A; Wright J, 2002, A family of singular oscillatory integral operators and failure of weak amenability, , http://dx.doi.org/10.48550/arxiv.math/0210136
    Conference Papers | 2000
    Cowling MG, 2000, 'Mappings which preserve families of curves', in Prociding Konperensi Nasional Matematika X, Prociding Konperensi Nasional Matematika X, presented at Prociding Konperensi Nasional Matematika X, 17 July 2000 - 20 July 2000
    Conference Papers | 1981
    Cowling M, 1981, 'A remark on twisted convolution', in Proceedings of the Seminar on Harmonic Analysis (Pisa, 1980), pp. 203 - 209
    Conference Papers | 1981
    Cowling MG, 1981, 'On Littlewood-Paley-Stein theory', in Proceedings of the Seminar on Harmonic Analysis (Pisa, 1980), pp. 21 - 55

RECENT GRANTS

  • Homogeneous Metric Spaces (2017 to 2021)
  • Harmonic analysis of Laplacians in curved spaces  (2022 t0 2024)

 

Medal, Australian Mathematical Society, 1989  
Fellow, Australian Academy of Science, 1993
Scientia Professor, UNSW, 2001-2012
Humboldt Foundation Research Prize Winner, 2009

RESEARCH INTERESTS
Harmonic Analysis, Lie Groups, Algebraic Groups, Representation Theory, Partial Differential Equations, Differential Geometry.