On the range of the generalized Fourier transform associated with a Cherednick type operator on the real line | Zendy

Najoua Barhoumi | Zendy; Maher Mili | Zendy

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On the range of the generalized Fourier transform associated with a Cherednick type operator on the real line

Author(s) -

Najoua Barhoumi,

Maher Mili

Publication year - 2013

Publication title -

arab journal of mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.353

H-Index - 11

eISSN - 2588-9214

pISSN - 1319-5166

DOI - 10.1016/j.ajmsc.2013.11.001

Subject(s) - mathematics , real line , fourier inversion theorem , fourier transform , operator (biology) , connection (principal bundle) , mathematical analysis , fractional fourier transform , range (aeronautics) , type (biology) , pure mathematics , fourier analysis , biochemistry , chemistry , materials science , geometry , ecology , repressor , biology , transcription factor , composite material , gene

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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