Hankel transformation of Colombeau type tempered generalized functions

DOI10.1006/jmaa.1997.5705zbMath0915.46037OpenAlexW2025313658MaRDI QIDQ1378624

Lourdes Rodríguez-Mesa, Jorge J. Betancor

Publication date: 28 June 1999

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

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5705

zbMATH Keywords

distributionsHankel transformationZemanian spaceHankel convolutiongeneralized functions of Colombeau type

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Related Items (3)

Generalized functions and Laguerre expansions ⋮ Colombeau Type Generalized Functions of Compact Spectrum with respect to the Hankel Transformation ⋮ A Paley-Wiener theorem for the Hankel transform of Colombeau type generalized functions

Cites Work

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• Variation diminishing Hankel transforms
• Algebraic characterization of convolution and multiplication operators on Hankel-transformable function and distribution spaces
• A Generalised Hankel Convolution
• Borel's theorem for generalized functions
• Some Properties of Hankel Convolution Operators
• The Hankel Convolution and the Zemanian Spaces β_μ and β'_μ
• Integral Equations Associated with Hankel Convolutions
• A Hankel convolution complex inversion theory
• The Hankel Transformation of Certain Distributions of Rapid Growth
• Hankel convolution on distribution spaces with exponential growth

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