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Turkish Journal of Mathematics

DOI

10.3906/mat-2005-57

Abstract

In this paper, we prove a Benedicks type theorem and a Donoho-Stark type theorem, for the generalized Fourier transform $\mathcal{F}_\alpha$ associated to some differential operators that we call Flensted-Jensen operators, in various spaces such $\mathrm{L}^1_\alpha(\mathbb{K})$, $\mathrm{L}^2_\alpha(\mathbb{K})$ and $\mathrm{L}^1_\alpha(\mathbb{K})\cap\mathrm{L}^2_\alpha(\mathbb{K})$, where $\mathbb{K}=\mathbb{R}_+\times\mathbb{R}$

First Page

1724

Last Page

1735

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