The Hankel Transformation of Banach-Space-Valued Generalized Functions

DOI10.2307/2159837zbMath0795.46026OpenAlexW4251123134MaRDI QIDQ3141298

Chen Kuan Li, E. L. Koh

Publication date: 20 September 1994

Full work available at URL: https://doi.org/10.2307/2159837

zbMATH Keywords

Laplace transformationlocal structureMellin transformationgeneralized integral transformationsHankel transformation of Banach-space-valued generalized functions

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Operations with distributions and generalized functions (46F10)

Related Items (9)

A couple of fractional powers of Hankel-type integral transformations of arbitrary order ⋮ Convolution with the linear canonical Hankel transformation ⋮ Convolution for a pair of quadratic-phase Hankel transforms ⋮ Two variants of fractional powers of Hankel integral transforms of arbitrary order ⋮ A couple of fractional powers of Hankel-type integral transformations and pseudo-differential operators ⋮ A pair of linear canonical Hankel transformations of random order ⋮ A pair of linear canonical Hankel transformations and associated pseudo-differential operators ⋮ The generalized Abel's integral equations on R^n with variable coefficients ⋮ Norm estimates for the pseudo-differential operator involving fractional Hankel-like transform on \(\mathcal{S}\)-type spaces

Cites Work

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• Realizability theory for continuous linear systems
• Banach space valued distributional Mellin transform and form invariant linear filtering
• The Hankel Transformation of Negative Order for Distributions of Rapid Growth

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