Distributional Chébli-Trimèche transforms

DOI10.1016/j.jmaa.2005.04.079zbMath1095.46023OpenAlexW1986828397MaRDI QIDQ819630

J. M. R. Méndez, J. D. Betancor, Jorge J. Betancor

Publication date: 29 March 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.04.079

zbMATH Keywords

distributionsintegral transformkernel methodChébli-Trimèche transforms

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Harmonic analysis on hypergroups (43A62)

Cites Work

• Transformation intégrale de Weyl et théorème de Paley-Wiener associes à un opérateur différentiel singulier sur \((0,\infty)\)
• Characterization of Hankel transformable generalized functions
• Harmonic analysis of probability measures on hypergroups
• On the Hankel transform of distributions
• Fourier transforms of Schwartz functions on Chébli-Trimèche hypergroups
• Distributional Fourier transform and convolution associated to Chébli-Trimèche hypergroups
• Hypercyclic and chaotic convolution operators on Chébli-Trimèche hypergroups
• Sur un théorème de Paley-Wiener associe à la décomposition spectrale d'un opérateur de Sturm-Liouville sur \([0, \infty\)]
• Chébli-Trimèche hypergroups and \(W\)-type spaces
• Paley-Wiener type theorems for a differential operator connected with symmetric spaces
• The Complex Hankel andI-Transformations of Generalized Functions
• The Structure of the Algebra of Hankel Transforms and the Algebra of Hankel-Stieltjes Transforms
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