Composition and commutator of pseudo-differential operators in the framework of zero-order Mehler-Fock transform domain

DOI10.1007/s41478-022-00531-wMaRDI QIDQ6117983

Akhilesh Prasad, Sandeep Kumar Verma

Publication date: 23 February 2024

Published in: The Journal of Analysis (Search for Journal in Brave)

zbMATH Keywords

Mehler-Fock transformpseudo-differential operatorLegendre function

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Integral transforms of special functions (44A20) Pseudodifferential operators (47G30)

Cites Work

• Pseudo-differential operators associated with the Jacobi differential operator
• Pseudo-differential operators involving Hankel transforms
• Sobolev type spaces associated with Bessel operators
• Two versions of pseudo-differential operators involving the Kontorovich-Lebedev transform in \(L^{2}(\mathbb{R}_{+};\frac{dx}{x})\)
• A class of pseudo-differential operators associated with Bessel operators
• A convolution operator related to the generalized Mehler-Fock and Kontorovich-Lebedev transforms
• On the Convolution Theorem of the Mehler-Fock-Transform for a Class of Generalized Functions (I)
• Mehler-Fock transforms of generalized functions via the method of adjoints
• Commutator estimates
• Paradifferential operators and commutator estimates
• Zero-order Mehler-Fock transform and Sobolev-type space
• Pseudo‐differential operators
• The convolution for zero-order Mehler–Fock transform and pseudo-differential operator
• Operational Calculus and Related Topics
• An algebra of pseudo‐differential operators
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