On the range of the generalized Fourier transform associated with a Cherednick type operator on the real line
In this work, we establish the real Paley–Wiener theorem for the generalized Fourier transform on R. Therefore, we study the connection between the real Paley–Wiener theorem and local spectral theory. Finally, we generalize Roe’s theorem.
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Emerald Publishing
2015-01-01
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| Series: | Arab Journal of Mathematical Sciences |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1319516613000388 |
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doaj-6f5b4ac2b1344f7aad16fae97cb9ac582021-05-02T18:08:45ZengEmerald PublishingArab Journal of Mathematical Sciences1319-51662015-01-01211223810.1016/j.ajmsc.2013.11.001On the range of the generalized Fourier transform associated with a Cherednick type operator on the real lineNajoua Barhoumi0Maher Mili1University of Monastir, Faculty of Sciences of Monastir, Department of Mathematics, 5019 Monastir, TunisiaUniversity of Sousse, Institut Supérieur des Sciences, Appliquées et de Technologie, Cité Taffala, 4003 Sousse, TunisiaIn this work, we establish the real Paley–Wiener theorem for the generalized Fourier transform on R. Therefore, we study the connection between the real Paley–Wiener theorem and local spectral theory. Finally, we generalize Roe’s theorem.http://www.sciencedirect.com/science/article/pii/S1319516613000388Cherednick type operatorReal Paley–Wiener theoremGeneralized Fourier transformRoe’s theorem |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Najoua Barhoumi Maher Mili |
| spellingShingle |
Najoua Barhoumi Maher Mili On the range of the generalized Fourier transform associated with a Cherednick type operator on the real line Arab Journal of Mathematical Sciences Cherednick type operator Real Paley–Wiener theorem Generalized Fourier transform Roe’s theorem |
| author_facet |
Najoua Barhoumi Maher Mili |
| author_sort |
Najoua Barhoumi |
| title |
On the range of the generalized Fourier transform associated with a Cherednick type operator on the real line |
| title_short |
On the range of the generalized Fourier transform associated with a Cherednick type operator on the real line |
| title_full |
On the range of the generalized Fourier transform associated with a Cherednick type operator on the real line |
| title_fullStr |
On the range of the generalized Fourier transform associated with a Cherednick type operator on the real line |
| title_full_unstemmed |
On the range of the generalized Fourier transform associated with a Cherednick type operator on the real line |
| title_sort |
on the range of the generalized fourier transform associated with a cherednick type operator on the real line |
| publisher |
Emerald Publishing |
| series |
Arab Journal of Mathematical Sciences |
| issn |
1319-5166 |
| publishDate |
2015-01-01 |
| description |
In this work, we establish the real Paley–Wiener theorem for the generalized Fourier transform on R. Therefore, we study the connection between the real Paley–Wiener theorem and local spectral theory. Finally, we generalize Roe’s theorem. |
| topic |
Cherednick type operator Real Paley–Wiener theorem Generalized Fourier transform Roe’s theorem |
| url |
http://www.sciencedirect.com/science/article/pii/S1319516613000388 |
| work_keys_str_mv |
AT najouabarhoumi ontherangeofthegeneralizedfouriertransformassociatedwithacherednicktypeoperatorontherealline AT mahermili ontherangeofthegeneralizedfouriertransformassociatedwithacherednicktypeoperatorontherealline |
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1721489121637040128 |