4.5 Article

On a sufficient condition for the existence of unconditional bases of reproducing kernels in Fock type spaces with nonradial weights

Journal

ANALYSIS AND MATHEMATICAL PHYSICS
Volume 13, Issue 6, Pages -

Publisher

SPRINGER BASEL AG
DOI: 10.1007/s13324-023-00848-0

Keywords

Hilbert spaces; Entire functions; Reproducing kernels; Unconditional bases; Riesz bases

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The article discusses some Fock type spaces with unconditional bases of reproducing kernels, which consist of entire functions satisfying certain conditions, where φ is a subharmonic function that may not be radial.
We describe some Fock type spaces which possess unconditional bases of reproducing kernels, the spaces F-phi of entire functions f such that f e(-phi) is an element of L-2(C), where phi is a subharmonic function, which may be nonradial.

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