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Riesz bases of reproducing kernels in Fock-type spaces

Published online by Cambridge University Press:  23 July 2009

Alexander Borichev
Affiliation:
Centre de Mathématiques et Informatique, Université d'Aix-Marseille I, 39 rue Frédéric Joliot-Curie, 13453 Marseille, France (borichev@cmi.univ-mrs.fr)
Yurii Lyubarskii
Affiliation:
Department of Mathematical Sciences, Norwegian University of Science and Technology, N-7491 Trondheim, Norway (yura@math.ntnu.no)

Abstract

In a scale of Fock spaces with radial weights ϕ we study the existence of Riesz bases of (normalized) reproducing kernels. We prove that these spaces possess such bases if and only if ϕ(x) grows at most like (log x)2.

Type
Research Article
Copyright
Copyright © Cambridge University Press 2009

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