On a sufficient condition for the existence of unconditional bases of reproducing kernels in Fock type spaces with nonradial weights-Reference-Cited by-同舟云学术

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

Published:2023-10-06 Issue:6 Volume:13 Page:
ISSN:1664-2368
Container-title:Analysis and Mathematical Physics
language:en
Short-container-title:Anal.Math.Phys.

Author:

Isaev K. P.,Lutsenko A. V.,Yulmukhametov R. S.

Funder

Russian Science Foundation

Developing Program of Scientific and Educational mathematical center of Privolzhsky Federal District

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s13324-023-00848-0.pdf

Reference16 articles.

1. Seip, K.: Density theorems for sampling and interpolation in the Bargmann-Fock space I. Reine Angew. Math. 429, 91–106 (1992). https://doi.org/10.1515/crll.1992.429.91

2. Seip K., Wallsten R.: Density theorems for sampling and interpolation in the Bargmann-Fock space II. Reine Angew. Math., 429, 107–113 (1992). http://eudml.org/doc/153434

3. Borichev, A., Dhuez, R., Kellay, K.: Sampling and interpolation in large Bergman and Fock spaces. J. Funct. Anal. 242(2), 563–606 (2007). https://doi.org/10.1016/j.jfa.2006.09.002

4. Borichev, A., Lyubarskii, Yu.: Riesz bases of reproducing kernels in Fock type spaces. J. Inst. Math. Jussieu 9, 449–461 (2010). https://doi.org/10.1017/S147474800900019X

5. Baranov, A., Belov, Yu., Borichev, A.: Fock type spaces with Riesz bases of reproducing kernels and de Branges spaces. Stud. Math. 236(2), 127–142 (2017). https://doi.org/10.4064/sm8504-9-2016

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