The Paley-Wiener-Levinson theorem revisited
In this paper a new proof of the Paley-Wiener-Levinson theorem is presented. This proof is based upon the isometry between the Paley-Wiener space and that of the square-integrable functions in [−π,π], on one hand, and a Titchmarsh's theorem which allows recovering bandlimited, entire functions...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1997-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171297000306 |
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| Summary: | In this paper a new proof of the Paley-Wiener-Levinson theorem is presented.
This proof is based upon the isometry between the Paley-Wiener space and that of the square-integrable
functions in [−π,π], on one hand, and a Titchmarsh's theorem which allows recovering
bandlimited, entire functions from their zeros, on the other hand. |
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| ISSN: | 0161-1712 1687-0425 |