Riesz bases of reproducing kernels in Fock type spaces and de Branges spaces
Anton Baranov, Yurii Belov, Alexander Borichev
TL;DR
This paper characterizes radial Fock type spaces with Riesz bases of normalized reproducing kernels and explores their isomorphism to de Branges spaces based on weight functions.
Contribution
It provides a detailed description of when Fock type spaces have Riesz bases and their relation to de Branges spaces through weight functions.
Findings
Characterization of Fock type spaces with Riesz bases
Conditions for isomorphism to de Branges spaces
Dependence on weight functions
Abstract
We describe the radial Fock type spaces which possess Riesz bases of normalized reproducing kernels and which are (are not) isomorphic to de Branges spaces in terms of the weight functions.
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Taxonomy
TopicsHolomorphic and Operator Theory · Mathematical Analysis and Transform Methods · Advanced Algebra and Geometry