On the Kontorovich-Lebedev transformation

DOI10.1216/jiea/1181074947zbMath1055.44006OpenAlexW1995594161MaRDI QIDQ1425629

Semyon B. Yakubovich

Publication date: 17 March 2004

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jiea/1181074947

zbMATH Keywords

Fredholm integral equationboundednessKontorovich-Lebedev transformMcDonald functioncompactnes

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fredholm integral equations (45B05)

Related Items (11)

Markov processes related to the stationary measure for the open KPZ equation ⋮ On a progress in the Kontorovich–Lebedev transform theory and related integral operators ⋮ On a polynomial sequence associated with the Bessel operator ⋮ Analog of the Hausdorff–Young theorem for the Lebedev integral ⋮ Central factorials under the Kontorovich–Lebedev transform of polynomials ⋮ A class of integral equations and index transformations related to the modified and incomplete Bessel functions ⋮ On the least values of \(L_{p}\)-norms for the Kontorovich--Lebedev transform and its convolution ⋮ A class of polynomials and discrete transformations associated with the Kontorovich–Lebedev operators ⋮ \(L_p\)-boundedness of general index transforms ⋮ NewL^p-boundedness properties for the Kontorovich–Lebedev and Mehler–Fock transforms ⋮ On Fourier – Kontorovich–Lebedev generalized convolution transforms

Cites Work

• On the stabilization of the inversion of some Kontorovich-Lebedev like integral transforms
• A Class of Index Transforms with General Kernels
• On the Theory of the Kontorovich-Lebedev Transformation on Distributions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the Kontorovich-Lebedev transformation