On a sufficient condition for the existence of unconditional bases of reproducing kernels in Fock type spaces with nonradial weights
DOI10.1007/S13324-023-00848-0OpenAlexW4387397400MaRDI QIDQ6072398
A. V. Lutsenko, R. S. Yulmukhametov, K. P. Isaev
Publication date: 13 October 2023
Published in: Analysis and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13324-023-00848-0
Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Representations of entire functions of one complex variable by series and integrals (30D10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sampling and interpolation in large Bergman and Fock spaces
- Necessary condition for the existence of unconditional bases of reproducing kernels for Hilbert spaces of entire functions
- On a sufficient condition for the existence of unconditional bases of reproducing kernels in Hilbert spaces of entire functions
- Riesz bases of normalized reproducing kernels in Fock type spaces
- On a criterion for the existence of unconditional bases of reproducing kernels in Fock spaces with radial regular weight
- Unconditional bases of reproducing kernels for Fock spaces with nonradial weights
- Equivalent norms in Hilbert spaces with unconditional bases of reproducing kernels
- Fock type spaces with Riesz bases of reproducing kernels and de Branges spaces
- Unconditional bases in weakly weighted spaces of entire functions
- Riesz bases of reproducing kernels in Fock-type spaces
- Density theorems for sampling and interpolation in the Bargmann-Fock space I.
- Unconditional bases in radial Hilbert spaces
- Equivalent conditions for the existence of unconditional bases of reproducing kernels in spaces of entire functions
This page was built for publication: On a sufficient condition for the existence of unconditional bases of reproducing kernels in Fock type spaces with nonradial weights