A Paley-Wiener theorem for the Hankel transform of Colombeau type generalized functions

DOI10.1006/jmaa.1998.6145zbMath0928.46024OpenAlexW1972087896MaRDI QIDQ1284020

Jorge J. Betancor, Lourdes Rodríguez-Mesa

Publication date: 9 January 2000

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

Full work available at URL: https://doi.org/10.1006/jmaa.1998.6145

zbMATH Keywords

Bessel function of the first kindHankel transformPaley-Wiener theoremColombeau type of generalized functionColombeau type spacestempered generalized functions of Colombeau type

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30)

Related Items (1)

Colombeau Type Generalized Functions of Compact Spectrum with respect to the Hankel Transformation

Cites Work

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• Variation diminishing Hankel transforms
• Hankel transformation of Colombeau type tempered generalized functions
• Paley-Wiener type theorems for Colombeau's generalized functions
• Fourier analysis on Colombeau's algebra of generalized functions
• Borel's theorem for generalized functions
• Some Properties of Hankel Convolution Operators
• The Hankel Convolution and the Zemanian Spaces β_μ and β'_μ
• On Hankel convolutors on certain Hankel transformable function spaces
• Paley—wiener theorem for generalized functions
• Integral Equations Associated with Hankel Convolutions
• A Hankel convolution complex inversion theory
• A Distributional Hankel Transformation
• The Hankel Transformation of Certain Distributions of Rapid Growth
• The Complex Hankel andI-Transformations of Generalized Functions

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