The Mehler-Fock-Clifford transform and pseudo-differential operator on function spaces

DOI10.2298/FIL1908457PzbMath1499.44011MaRDI QIDQ5080860

Akhilesh Prasad, Sandeep Kumar Verma

Publication date: 31 May 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

convolutionMehler-Fock transformpseudo-differential operator

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Integral transforms of special functions (44A20) Pseudodifferential operators (47G30)

Related Items (1)

Pseudo‐differential operator in quaternion space

Cites Work

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• The Mehler-Fock transform of general order and arbitrary index and its inversion
• A pair of generalized Hankel-Clifford transformations and their applications
• Pseudo-differential operators associated with the Jacobi differential operator
• A class of pseudo-differential operators associated with Bessel operators
• Hankel-Clifford transformations on some ultradifferentiable function spaces and pseudo-differential operators
• PSEUDO-DIFFERENTIAL OPERATORS ASSOCIATED TO A PAIR OF HANKEL–CLIFFORD TRANSFORMATIONS ON CERTAIN BEURLING TYPE FUNCTION SPACES
• The Curious History of Faa di Bruno's Formula
• Pseudo‐differential operators
• The convolution for zero-order Mehler–Fock transform and pseudo-differential operator
• An Introduction to Pseudo-Differential Operators
• Operational Calculus and Related Topics
• NewL^p-boundedness properties for the Kontorovich–Lebedev and Mehler–Fock transforms
• An algebra of pseudo‐differential operators

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