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

2020/05/01 by Youssef Bettaibi, Bettaibi, Youssef, Hassen Ben Mohamed +1
Mathematics · #Advanced Algebra and Geometry #Algebraic and Geometric Analysis #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.2005.00489

openalex publication_date 2020/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We first characterize the image of the compactly supported smooth even\nfunctions under the q-Weinstein transform as a subspace of the Schwartz space.\nWe then describe the space of smooth L_{\α, q, a}²-functions whose\nq-Weinstein transform has compact support as a subspace of the space of\nL_{\α, q, a}²-functions.\n

Related

• Paley-Wiener Theorem for the Weinstein Transform and applications
• Paley-Wiener Theorems with respect to the spectral parameter
• The Paley-Wiener Theorem and the Local Huygens' Principle for Compact Symmetric Spaces
• Paley-Wiener spaces for real reductive Lie groups
• A remark on the Weyl quantisation of Paley-Wiener functions