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...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1997-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171297000306 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832563652661608448 |
|---|---|
| author | A. G. García |
| author_facet | A. G. García |
| author_sort | A. G. García |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-a929e6ccda004ace913a42e8152c4f08 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1997-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-a929e6ccda004ace913a42e8152c4f082025-02-03T01:12:57ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251997-01-0120222923410.1155/S0161171297000306The Paley-Wiener-Levinson theorem revisitedA. G. García0Departamento de Matemáticas, Escuela Politécnica Superior, Universidad Carlos III de Madrid, c/Butarque, 15, Leganés, Madrid 28911, SpainIn 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.http://dx.doi.org/10.1155/S0161171297000306nonuniform samplingLagrange type interpolation series Riesz basisentire functions of exponential type. |
| spellingShingle | A. G. García The Paley-Wiener-Levinson theorem revisited International Journal of Mathematics and Mathematical Sciences nonuniform sampling Lagrange type interpolation series Riesz basis entire functions of exponential type. |
| title | The Paley-Wiener-Levinson theorem revisited |
| title_full | The Paley-Wiener-Levinson theorem revisited |
| title_fullStr | The Paley-Wiener-Levinson theorem revisited |
| title_full_unstemmed | The Paley-Wiener-Levinson theorem revisited |
| title_short | The Paley-Wiener-Levinson theorem revisited |
| title_sort | paley wiener levinson theorem revisited |
| topic | nonuniform sampling Lagrange type interpolation series Riesz basis entire functions of exponential type. |
| url | http://dx.doi.org/10.1155/S0161171297000306 |
| work_keys_str_mv | AT aggarcia thepaleywienerlevinsontheoremrevisited AT aggarcia paleywienerlevinsontheoremrevisited |