Academic Journal
Marcinkiewicz-Zygmund inequalities for polynomials in Fock space
| Title: | Marcinkiewicz-Zygmund inequalities for polynomials in Fock space |
|---|---|
| Authors: | Gröchenig, Karlheinz, Ortega Cerdà, Joaquim |
| Source: | Dipòsit Digital de la UB Universidad de Barcelona Articles publicats en revistes (Matemàtiques i Informàtica) |
| Publication Status: | Preprint |
| Publisher Information: | Springer Science and Business Media LLC, 2022. |
| Publication Year: | 2022 |
| Subject Terms: | Reproducing kernel, Mathematics - Complex Variables, Funcions de variables complexes, Approximation theory, Anàlisi harmònica, 101008 Complex analysis, 01 natural sciences, Incomplete gamma function, 101008 Funktionentheorie, Fock space, Functions of complex variables, Interpolation, Functional Analysis (math.FA), Hermite function, Teoria de l'aproximació, Harmonic analysis, Mathematics - Functional Analysis, Interpolació (Matemàtica), Marcinkiewicz-Zygmund inequalities, FOS: Mathematics, Complex Variables (math.CV), 0101 mathematics, 30E05, 30H20, 41A10, 42B30 |
| Description: | We study the relation between Marcinkiewicz-Zygmund families for polynomials in a weighted$$L^2$$L2-space and sampling theorems for entire functions in the Fock space and the dual relation between uniform interpolating families for polynomials and interpolating sequences. As a consequence we obtain a description of signal subspaces spanned by Hermite functions by means of Gabor frames. |
| Document Type: | Article |
| File Description: | application/pdf |
| Language: | English |
| ISSN: | 1432-1823 0025-5874 |
| DOI: | 10.1007/s00209-022-03087-4 |
| DOI: | 10.48550/arxiv.2109.11825 |
| Access URL: | http://arxiv.org/abs/2109.11825 http://hdl.handle.net/2445/189547 https://ucrisportal.univie.ac.at/de/publications/708e3781-ca0b-42f4-b365-ec6f3a31fd6b https://doi.org/10.1007/s00209-022-03087-4 |
| Rights: | CC BY |
| Accession Number: | edsair.doi.dedup.....2231f0d9120aef3ac5afcca3ffd97746 |
| Database: | OpenAIRE |
| ISSN: | 14321823 00255874 |
|---|---|
| DOI: | 10.1007/s00209-022-03087-4 |