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.

Bibliographic Details
Main Authors: Najoua Barhoumi, Maher Mili
Format: Article
Language:English
Published: Emerald Publishing 2015-01-01
Series:Arab Journal of Mathematical Sciences
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1319516613000388

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