Composition of pseudodifferential operators associated with fractional Hankel–Clifford integral transformations

DOI10.1080/00036811.2015.1073264zbMath1353.47097OpenAlexW2322912215WikidataQ58260441 ScholiaQ58260441MaRDI QIDQ2825335

Akhilesh Prasad, Praveen Kumar

Publication date: 7 October 2016

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2015.1073264

zbMATH Keywords

pseudodifferential operatorSobolev-type spaceZemanian spacefractional Hankel-Clifford convolutionfractional Hankel-Clifford transformation

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Integral transforms in distribution spaces (46F12) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Pseudodifferential operators (47G30)

Related Items (11)

A couple of fractional powers of Hankel-type integral transformations of arbitrary order ⋮ Product of pseudo-differential operators associated with zero order Mehler-Fock transform ⋮ Convolution with the linear canonical Hankel transformation ⋮ Convolution for a pair of quadratic-phase Hankel transforms ⋮ A couple of fractional powers of Hankel-type integral transformations and pseudo-differential operators ⋮ On the Sobolev boundedness results of the product of pseudo-differential operators involving a couple of fractional Hankel transforms ⋮ Pseudo-differential operator in the framework of linear canonical transform domain ⋮ A pair of linear canonical Hankel transformations of random order ⋮ A pair of linear canonical Hankel transformations and associated pseudo-differential operators ⋮ A pair of fractional Hankel-Clifford transform on Sobolev-type spaces: theory, examples, and applications ⋮ Norm estimates for the pseudo-differential operator involving fractional Hankel-like transform on \(\mathcal{S}\)-type spaces

Cites Work

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• Generalized integral transformations
• A pair of generalized Hankel-Clifford transformations and their applications
• Fractional powers of Hankel transforms in the Zemanian spaces
• On the generalized Hankel-Clifford transformation of arbitrary order
• Product of two generalized pseudo-differential operators involving fractional Fourier transform
• A class of pseudo-differential operators associated with Bessel operators
• PSEUDO-DIFFERENTIAL OPERATORS INVOLVING HANKEL–CLIFFORD TRANSFORMATION
• An Introduction to Pseudo-Differential Operators

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