Composition of pseudo-differential operators associated with Kontorovich–Lebedev transform

DOI10.1080/10652469.2016.1227330zbMath1366.44002OpenAlexW2509037250MaRDI QIDQ5506805

Akhilesh Prasad, Upain K. Mandal

Publication date: 16 December 2016

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

Full work available at URL: https://doi.org/10.1080/10652469.2016.1227330

zbMATH Keywords

Kontorovich-Lebedev transformpseudo-differential operatorsSobolev-type spacesymbol class

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Pseudodifferential operators as generalizations of partial differential operators (35S05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Transform methods (e.g., integral transforms) applied to PDEs (35A22)

Related Items (2)

On the product formula and convolution associated with the index Whittaker transform ⋮ Unnamed Item

Cites Work

• On the least values of \(L_{p}\)-norms for the Kontorovich--Lebedev transform and its convolution
• A convolution connected with the Kontorovich-Lebedev transform
• Pseudo-differential operators associated with the Jacobi differential operator
• On a progress in the Kontorovich–Lebedev transform theory and related integral operators
• Kontorovich–Lebedev transform for Boehmians
• The Kontorovich–Lebedev transformation on distributions of compact support and its inversion
• Pseudo-differential operators associated with the Jacobi differential operator and Fourier-cosine wavelet transform
• An Introduction to Pseudo-Differential Operators

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