Convolution operators related to the Fourier cosine and Kontorovich-Lebedev transformations

DOI10.1007/S00025-009-0393-XzbMath1180.44004OpenAlexW2031627566MaRDI QIDQ1034878

Semyon B. Yakubovich, Lyubov E. Britvina

Publication date: 9 November 2009

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-009-0393-x

zbMATH Keywords

Fourier transformconvolution integral equationsKontorovich-Lebedev transformmodified Bessel functionplancherel theorem

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Linear integral equations (45A05) General integral transforms (44A05)

Related Items (3)

Some results of Watson and Plancherel‐type integral transforms related to the Hartley, Fourier convolutions and applications ⋮ Asymptotics of the scattered Debye potentials via a generalized convolution ⋮ A class of Fredholm equations and systems of equations related to the Kontorovich-Lebedev and the Fourier integral transforms

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