Real Paley-Wiener theorems associated with the weinstein operator |
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Authors: | Youssef Othmani Khalifa Trimèche |
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Affiliation: | 18. Department of Mathematics, Faculty of Sciences of Tunis, 1060, Tunis, Tunisia
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Abstract: | In this paper we use real analysis techniques to establish a new real Paley-Wiener theorems for the Fourier-Bessel transform associated with the Weinstein operator. More precisely we characterize the C ∞-functions whose image under the Fourier-Bessel transform are functions with compact support through an L p growth condition, p ∈ [1, +∞] and we give another version of the real Paley-Wiener theorem for L 2-functions. |
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