Research Article

On a sampling problem for a Bargmann-Fock space

Volume: 53 Number: 5 October 15, 2024
EN

On a sampling problem for a Bargmann-Fock space

Abstract

The purpose of the present article is to provide geometric sufficient conditions for discrete points to be a sampling sequence for a generalized Hilbert Bargmann-Fock space in several complex variables.

Keywords

References

  1. [1] B. Berndtsson and J. Ortega-Cerdà, On interpolating and sampling in Hilbert spaces of analytic functions, J. reine angew Math. 464, 109-128, 1995.
  2. [2] B. Berndtsson and M. Andersson, Henkin-Ramirez formulas with weight factors, Ann. Inst. Fourier. 32 (3), 91-110, 1982.
  3. [3] K. Fritzsche and H. Grauert, From Holomorphic Functions to Complex Manifolds, Springer New York, NY, 2002.
  4. [4] H. Führ, K. Gröchenig, A. Haimi, A. Klotz and J.L. Romero, Density of sampling and interpolation in reproducing kernel Hilbert spaces, J. Lond. Math. Soc. 96 (3), 663-686, 2017.
  5. [5] J. Garnett,Bounded analytic functions, Springer-Verlag New York, 2007.
  6. [6] K. Gröchenig, A. Haimi, J. Ortega-Cerdà and J.L. Romero, Strict density inequalities for sampling and interpolation in weighted spaces of holomorphic functions, J. Funct. Anal. 277 (12), 34 pp, 2019.
  7. [7] W. K. Hayman, P. B. Kennedy, Subharmonic Functions, Academic Press, London 1976.
  8. [8] L.L. Helms, Potential Theory, Springer Dordrecht Heidelberg London New York, 2009.

Details

Primary Language

English

Subjects

Real and Complex Functions (Incl. Several Variables)

Journal Section

Research Article

Early Pub Date

January 10, 2024

Publication Date

October 15, 2024

Submission Date

August 8, 2023

Acceptance Date

October 13, 2023

Published in Issue

Year 2024 Volume: 53 Number: 5

APA
El Aıdı, M. (2024). On a sampling problem for a Bargmann-Fock space. Hacettepe Journal of Mathematics and Statistics, 53(5), 1305-1311. https://doi.org/10.15672/hujms.1339373
AMA
1.El Aıdı M. On a sampling problem for a Bargmann-Fock space. Hacettepe Journal of Mathematics and Statistics. 2024;53(5):1305-1311. doi:10.15672/hujms.1339373
Chicago
El Aıdı, Mohammed. 2024. “On a Sampling Problem for a Bargmann-Fock Space”. Hacettepe Journal of Mathematics and Statistics 53 (5): 1305-11. https://doi.org/10.15672/hujms.1339373.
EndNote
El Aıdı M (October 1, 2024) On a sampling problem for a Bargmann-Fock space. Hacettepe Journal of Mathematics and Statistics 53 5 1305–1311.
IEEE
[1]M. El Aıdı, “On a sampling problem for a Bargmann-Fock space”, Hacettepe Journal of Mathematics and Statistics, vol. 53, no. 5, pp. 1305–1311, Oct. 2024, doi: 10.15672/hujms.1339373.
ISNAD
El Aıdı, Mohammed. “On a Sampling Problem for a Bargmann-Fock Space”. Hacettepe Journal of Mathematics and Statistics 53/5 (October 1, 2024): 1305-1311. https://doi.org/10.15672/hujms.1339373.
JAMA
1.El Aıdı M. On a sampling problem for a Bargmann-Fock space. Hacettepe Journal of Mathematics and Statistics. 2024;53:1305–1311.
MLA
El Aıdı, Mohammed. “On a Sampling Problem for a Bargmann-Fock Space”. Hacettepe Journal of Mathematics and Statistics, vol. 53, no. 5, Oct. 2024, pp. 1305-11, doi:10.15672/hujms.1339373.
Vancouver
1.Mohammed El Aıdı. On a sampling problem for a Bargmann-Fock space. Hacettepe Journal of Mathematics and Statistics. 2024 Oct. 1;53(5):1305-11. doi:10.15672/hujms.1339373

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