Alexandr Usachev

Let {fn} be an orthogonal, uniformly bounded, normalised system. The classical Mercer theorem states that for every summable function the sequence of its 'Fourier' coefficients with respect to {fn} is converging to zero. The talk addresses the case when {fn} coincides with the classical Haar system, which is not uniformly bounded. The emphasis is made on the analogue of the Mercer theorem for functions from Marcinkiewicz spaces.
Alexandr Usachev
Analysis Seminar
UNSW
Fri, 09/04/2010 - 11:00am
RC-4082