Generalized convolution for the Kontorovich-Lebedev, Fourier transforms and applications to acoustic fields

DOI10.1007/s40306-015-0148-6zbMath1355.44005OpenAlexW892896510MaRDI QIDQ300674

Trinh Tuan, Nguyen Thanh Hong, Pham Van Hoang

Publication date: 28 June 2016

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40306-015-0148-6

zbMATH Keywords

Fourier transformconvolutioninversion formulaKontorovich-Lebedev transformMacdonald function

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Convolution, factorization for one variable harmonic analysis (42A85) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (3)

Some results of Watson and Plancherel‐type integral transforms related to the Hartley, Fourier convolutions and applications ⋮ On the reverse convolution inequalities for the Kontorovich-Lebedev, Fourier cosine transforms and applications ⋮ A class of Fredholm equations and systems of equations related to the Kontorovich-Lebedev and the Fourier integral transforms

Cites Work

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• On the Fourier cosine-Kontorovich-Lebedev generalized convolution transforms.
• Scattering of a plane electromagnetic wave by a hollow circular cone with thin semi-transparent walls
• Convolutions related to the Fourier and Kontorovich–Lebedev transforms revisited
• Electromagnetic scattering by a smooth convex impedance cone
• Diffraction of scalar waves by an impedance cone of arbitrary cross-section.

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