Beurling-type density theorems for weightedLpspaces of entire functions
✍ Scribed by Joaquim Ortega-Cerdà; Kristian Seip
- Publisher
- Springer-Verlag
- Year
- 1998
- Tongue
- English
- Weight
- 891 KB
- Volume
- 75
- Category
- Article
- ISSN
- 0021-7670
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📜 SIMILAR VOLUMES
We characterize the interpolating sequences for the Bernstein space of entire functions of exponential type, in terms of a Beurling-type density condition and a Carleson-type separation condition. Our work extends a description previously given by Beurling in the case that the interpolating sequence
Applying the theory of generalized functions we obtain the Shannon sampling theorem for entire functions F z of exponential growth and give its error estimate which shows how much the error depends on the sampling size and bandwidth for given domain of the signal F z . As an application we obtain a