A strong version of Poisson summation
We establish a generalized version of the classical Poisson summation formula. This formula incorporates a special feature called compression, whereby, at the same time that the formula equates a series to its Fourier dual, the compressive feature serves to enable both sides of the equation to conve...
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| Format: | Article |
| Language: | English |
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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/S0161171297000124 |
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| _version_ | 1832555473348329472 |
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| author | Nelson Petulante |
| author_facet | Nelson Petulante |
| author_sort | Nelson Petulante |
| collection | DOAJ |
| description | We establish a generalized version of the classical Poisson summation formula. This
formula incorporates a special feature called compression, whereby, at the same time that the
formula equates a series to its Fourier dual, the compressive feature serves to enable both sides of
the equation to converge. |
| format | Article |
| id | doaj-art-729087e72d4e4975a9619dc49bf8b40b |
| 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-729087e72d4e4975a9619dc49bf8b40b2025-02-03T05:48:05ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251997-01-01201819210.1155/S0161171297000124A strong version of Poisson summationNelson Petulante0Crawford Science Hall, Bowie State University, Bowie, MD 20715, USAWe establish a generalized version of the classical Poisson summation formula. This formula incorporates a special feature called compression, whereby, at the same time that the formula equates a series to its Fourier dual, the compressive feature serves to enable both sides of the equation to converge.http://dx.doi.org/10.1155/S0161171297000124poisson summationsummabilitycompressed Fourier transform averageable functionscompressible functionstheta serieslocal averaging operator. |
| spellingShingle | Nelson Petulante A strong version of Poisson summation International Journal of Mathematics and Mathematical Sciences poisson summation summability compressed Fourier transform averageable functions compressible functions theta series local averaging operator. |
| title | A strong version of Poisson summation |
| title_full | A strong version of Poisson summation |
| title_fullStr | A strong version of Poisson summation |
| title_full_unstemmed | A strong version of Poisson summation |
| title_short | A strong version of Poisson summation |
| title_sort | strong version of poisson summation |
| topic | poisson summation summability compressed Fourier transform averageable functions compressible functions theta series local averaging operator. |
| url | http://dx.doi.org/10.1155/S0161171297000124 |
| work_keys_str_mv | AT nelsonpetulante astrongversionofpoissonsummation AT nelsonpetulante strongversionofpoissonsummation |