Convolutions related to the Fourier and Kontorovich–Lebedev transforms revisited

DOI10.1080/10652460903101919zbMath1191.44002OpenAlexW2017134707MaRDI QIDQ3557924

Semyon B. Yakubovich, Lyubov E. Britvina

Publication date: 28 April 2010

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

Full work available at URL: https://doi.org/10.1080/10652460903101919

zbMATH Keywords

Fourier transformconvolution integral equationsKontorovich-Lebedev transformmodified Bessel functionPlancherel theoremnoncommutative convolutionscommutative convolutions

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)

Related Items (11)

Generalized convolution for the Kontorovich-Lebedev, Fourier transforms and applications to acoustic fields ⋮ Reverse convolution inequalities for Lebedev-Skalskaya transforms ⋮ On the Fourier cosine-Kontorovich-Lebedev generalized convolution transforms. ⋮ On the generalized convolution for \(F_c, F_s\), and \(K-L\) integral transforms ⋮ On the Fourier-sine and Kontorovich-Lebedev generalized convolution transforms and their applications ⋮ On the polyconvolution with the weight function for the Fourier cosine, Fourier sine, and the Kontorovich-Lebedev integral transforms ⋮ On a polyconvolution with a weight function for Fourier cosine and Laplace transforms ⋮ Asymptotics of the scattered Debye potentials via a generalized convolution ⋮ On the reverse convolution inequalities for the Kontorovich-Lebedev, Fourier cosine transforms and applications ⋮ On the polyconvolution for Hartley, Fourier cosine and Fourier sine transforms ⋮ On Fourier – Kontorovich–Lebedev generalized convolution transforms

Cites Work

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