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

Published 1 May 2020 in math.FA | (2005.00489v1)

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.}