The convolution for zero-order Mehler–Fock transform and pseudo-differential operator

DOI10.1080/10652469.2017.1420067zbMath1390.44007OpenAlexW2782068818MaRDI QIDQ5374307

Akhilesh Prasad, Upain K. Mandal, Sandeep Kumar Verma

Publication date: 10 April 2018

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

Full work available at URL: https://doi.org/10.1080/10652469.2017.1420067

zbMATH Keywords

convolutionMehler-Fock transformpseudo-differential operator

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Pseudodifferential operators as generalizations of partial differential operators (35S05) Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Related Items (14)

The \(\mathrm{Y}\) transforms and allied pseudo-differential operators ⋮ Lebedev–Skalskaya transforms and allied operators on certain function spaces ⋮ The Mehler-Fock-Clifford transform and pseudo-differential operator on function spaces ⋮ Product of pseudo-differential operators associated with zero order Mehler-Fock transform ⋮ Localization operators and scalogram in the framework of Mehler-Fock wavelet transform ⋮ Composition and commutator of pseudo-differential operators in the framework of zero-order Mehler-Fock transform domain ⋮ The integro‐differential operators of infinite order on the half line related to the Legendre operator ⋮ A pair of Barut-Girardello type transforms and allied pseudo-differential operators ⋮ Heat kernel in the framework of zero order Mehler-Fock transform ⋮ Zero-order Mehler-Fock transform and Sobolev-type space ⋮ Lebedev–Skalskaya transforms on certain function spaces and associated pseudo-differential operators ⋮ An operational calculus for a Mehler-Fock type index transform on distributions of compact support ⋮ Wavelet transform and its composition in the framework of Barut-Girardello transform ⋮ Legendre functions, related Lebedev-Skalskaya transforms pairs and associated operators

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