Multidimensional Kontorovich–Lebedev transforms

DOI10.1080/10652469.2010.499739zbMath1214.44003OpenAlexW1971276393MaRDI QIDQ3074599

Semyon B. Yakubovich

Publication date: 9 February 2011

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

Full work available at URL: https://doi.org/10.1080/10652469.2010.499739

zbMATH Keywords

Fourier transformLaplace transformMellin transformintegral transformsmodified Bessel functionsspecial functionsKontorovich-Lebedev transforminversion formulasmultiple hypergeometric functionsWatson transforms

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Other hypergeometric functions and integrals in several variables (33C70) (H^p)-spaces (42B30) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Multiple integral transforms (44A30)

Related Items (2)

Discrete Mehler–Fock transforms ⋮ Discrete index Whittaker transforms

Cites Work

• \(L_p\)-boundedness of general index transforms
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