Riesz bases of normalized reproducing kernels in radial Hilbert spaces of entire functions

2 Jul 2021, 12:25
30m

Speaker

Rinad Yulmukhametov (Institute of Mathematics with Computing Centre - Subdivision of the Ufa Federal Research Centre of Russian Academy of Science)

Description

We consider a reproducing kernel radial Hilbert space of entire functions and prove necessary and sufficient conditions for the existence of unconditional bases of reproducing kernels in terms of norms of monomials. The results obtained are applied to weighted Fock spaces.

Primary authors

Rinad Yulmukhametov (Institute of Mathematics with Computing Centre - Subdivision of the Ufa Federal Research Centre of Russian Academy of Science) Mr Konstantin Isaev (Institute of Mathematics with Computing Centre - Subdivision of the Ufa Federal Research Centre of Russian Academy of Science)

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