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arXiv · 2005.00489

Real Paley-Wiener Theorem for the Generalized Weinstein transform in quantum calculus

Youssef Bettaibi·Hassen Ben Mohamed
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Abstract

We first characterize the image of the compactly supported smooth even functions under the q-Weinstein transform as a subspace of the Schwartz space. We then describe the space of smooth $L_{\alpha, q, a}^{2}$-functions whose q-Weinstein transform has compact support as a subspace of the space of $L_{\alpha, q, a}^{2}$-functions.

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BibTeXRIS

Youssef Bettaibi, Hassen Ben Mohamed. 2020-05-01. Real Paley-Wiener Theorem for the Generalized Weinstein transform in quantum calculus. https://arxiv.org/abs/2005.00489

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