On some extension of Paley Wiener theorem
Paley Wiener theorem characterizes the class of functions which are Fourier transforms of ℂ∞ functions of compact support on ℝn by relating decay properties of those functions or distributions at infinity with analyticity of their Fourier transform. The theorem is already proved in classical case :...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2020-04-01
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| Series: | Concrete Operators |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/conop-2020-0006 |
| _version_ | 1818880490006904832 |
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| author | N’Da Ettien Yves-Fernand Kangni Kinvi |
| author_facet | N’Da Ettien Yves-Fernand Kangni Kinvi |
| author_sort | N’Da Ettien Yves-Fernand |
| collection | DOAJ |
| description | Paley Wiener theorem characterizes the class of functions which are Fourier transforms of ℂ∞ functions of compact support on ℝn by relating decay properties of those functions or distributions at infinity with analyticity of their Fourier transform. The theorem is already proved in classical case : the real case with holomorphic Fourier transform on L2(ℝ), the case of functions with compact support on ℝn from Hörmander and the spherical transform on semi simple Lie groups with Gangolli theorem. |
| first_indexed | 2024-12-19T14:46:47Z |
| format | Article |
| id | doaj.art-eb198071195d4961825af42afd6b0d19 |
| institution | Directory Open Access Journal |
| issn | 2299-3282 |
| language | English |
| last_indexed | 2024-12-19T14:46:47Z |
| publishDate | 2020-04-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Concrete Operators |
| spelling | doaj.art-eb198071195d4961825af42afd6b0d192022-12-21T20:16:56ZengDe GruyterConcrete Operators2299-32822020-04-0171819010.1515/conop-2020-0006conop-2020-0006On some extension of Paley Wiener theoremN’Da Ettien Yves-Fernand0Kangni Kinvi1Université LavalUniversité Felix Houphouet-BoignyPaley Wiener theorem characterizes the class of functions which are Fourier transforms of ℂ∞ functions of compact support on ℝn by relating decay properties of those functions or distributions at infinity with analyticity of their Fourier transform. The theorem is already proved in classical case : the real case with holomorphic Fourier transform on L2(ℝ), the case of functions with compact support on ℝn from Hörmander and the spherical transform on semi simple Lie groups with Gangolli theorem.https://doi.org/10.1515/conop-2020-0006delta-orbital integralreductive lie groupspherical fourier transform of type delta4322d22e46em46h47l |
| spellingShingle | N’Da Ettien Yves-Fernand Kangni Kinvi On some extension of Paley Wiener theorem Concrete Operators delta-orbital integral reductive lie group spherical fourier transform of type delta 43 22d 22e 46em 46h 47l |
| title | On some extension of Paley Wiener theorem |
| title_full | On some extension of Paley Wiener theorem |
| title_fullStr | On some extension of Paley Wiener theorem |
| title_full_unstemmed | On some extension of Paley Wiener theorem |
| title_short | On some extension of Paley Wiener theorem |
| title_sort | on some extension of paley wiener theorem |
| topic | delta-orbital integral reductive lie group spherical fourier transform of type delta 43 22d 22e 46em 46h 47l |
| url | https://doi.org/10.1515/conop-2020-0006 |
| work_keys_str_mv | AT ndaettienyvesfernand onsomeextensionofpaleywienertheorem AT kangnikinvi onsomeextensionofpaleywienertheorem |