On Hankel type integral transformations of generalized functions

DOI10.1080/10652460410001686055zbMath1073.46034OpenAlexW2075285998MaRDI QIDQ4822865

S. P. Malgonde, Lokenath Debnath

Publication date: 25 October 2004

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460410001686055

zbMATH Keywords

Hankel transformkernel methodgeneralized function

Mathematics Subject Classification ID

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

Related Items (13)

On Hankel transforms of generalized Bessel matrix polynomials ⋮ Two versions of fractional powers of Hankel-type transformations and pseudo-differential operators ⋮ 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 ⋮ Hankel-type integral transforms and their fractionalization: a note ⋮ A couple of fractional powers of Hankel-type integral transformations and pseudo-differential operators ⋮ Unnamed Item ⋮ On the Sobolev boundedness results of the product of pseudo-differential operators involving a couple of fractional Hankel transforms ⋮ A pair of linear canonical Hankel transformations of random order ⋮ A pair of linear canonical Hankel transformations and associated pseudo-differential operators ⋮ Uncertainty principles for the windowed Hankel transform

Cites Work

• On the Hankel transform of distributions
• On the Bessel Transformation of Arbitrary Order
• On Schwartz’s Hankel Transformation of Certain Spaces of Distributions
• The Complex Hankel andI-Transformations of Generalized Functions

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