Two variants of fractional powers of Hankel integral transforms of arbitrary order

DOI10.1007/S11565-015-0226-7zbMath1335.44002OpenAlexW2025804256MaRDI QIDQ895821

Akhilesh Prasad, Kanailal Mahato

Publication date: 7 December 2015

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-015-0226-7

zbMATH Keywords

Hankel transformsfractional Hankel transformsZemanian spaces of distributions

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)

Related Items (5)

A couple of fractional powers of Hankel-type integral transformations of arbitrary order ⋮ Convolution with the linear canonical Hankel transformation ⋮ A couple of fractional powers of Hankel-type integral transformations and pseudo-differential operators ⋮ A pair of linear canonical Hankel transformations and associated pseudo-differential operators ⋮ Norm estimates for the pseudo-differential operator involving fractional Hankel-like transform on \(\mathcal{S}\)-type spaces

Cites Work

• Fractional powers of Hankel transforms in the Zemanian spaces
• The Hankel Transformation of Banach-Space-Valued Generalized Functions
• Hankel-type integral transforms and their fractionalization: a note
• On then-dimensional Hankel transforms of arbitrary order
• Fractionalization of Hankel Transforms
• On Hankel type integral transformations of generalized functions
• On the inverse of the hankel transform
• A kernel theorem from the Hankel transform in Banach spaces
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