Notes on Bernstein spaces, sampling, Boas interpolation formulas and their extensions to Banach spaces
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917169021845504 |
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| author | Pesenson, Isaac |
| author_facet | Pesenson, Isaac |
| contents | This paper is essentially a survey on several classical results of harmonic analysis and their recent extensions to Banach spaces. The first part of the paper is a summary of some important results in such topics as Bernstein spaces, Shannon-type sampling, Riesz and Boas interpolation formulas. The second part contains extensions of these ideas to Banach spaces equipped with one-parameter uniformly bounded group of operators of class $C_{0}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_21262 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Notes on Bernstein spaces, sampling, Boas interpolation formulas and their extensions to Banach spaces Pesenson, Isaac Functional Analysis This paper is essentially a survey on several classical results of harmonic analysis and their recent extensions to Banach spaces. The first part of the paper is a summary of some important results in such topics as Bernstein spaces, Shannon-type sampling, Riesz and Boas interpolation formulas. The second part contains extensions of these ideas to Banach spaces equipped with one-parameter uniformly bounded group of operators of class $C_{0}$. |
| title | Notes on Bernstein spaces, sampling, Boas interpolation formulas and their extensions to Banach spaces |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2512.21262 |