Marcinkiewicz-Zygmund Inequalities for Polynomials in Fock Space
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866914802826215424 |
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| author | Gröchenig, Karlheinz Ortega-Cerdà, Joaquim |
| author_facet | Gröchenig, Karlheinz Ortega-Cerdà, Joaquim |
| contents | We study the relation between Marcinkiewicz-Zygmund families for polynomials in a weighted $L^2$-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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_11825 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Marcinkiewicz-Zygmund Inequalities for Polynomials in Fock Space Gröchenig, Karlheinz Ortega-Cerdà, Joaquim Complex Variables Functional Analysis 30E05, 30H20, 41A10, 42B30 We study the relation between Marcinkiewicz-Zygmund families for polynomials in a weighted $L^2$-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. |
| title | Marcinkiewicz-Zygmund Inequalities for Polynomials in Fock Space |
| topic | Complex Variables Functional Analysis 30E05, 30H20, 41A10, 42B30 |
| url | https://arxiv.org/abs/2109.11825 |