Integral transforms related to a generalized convolution

DOI10.1007/BF03322007zbMath0970.44004OpenAlexW2040934513MaRDI QIDQ1840581

Tuan, V. K., Fadhel A. Al-Musallam

Publication date: 21 October 2001

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

Full work available at URL: https://doi.org/10.1007/bf03322007

zbMATH Keywords

Plancherel theoremFourier cosine and sine transformsconvolution transformBessel function as kernelWatson theoremAiry function as kernelAnger-Weber function as kernel

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (16)

Generalized convolutions for the Hankel transform and related integral operators ⋮ Integral transforms of Hartley–Fourier cosine polyconvolution type ⋮ On the Fourier cosine-Kontorovich-Lebedev generalized convolution transforms. ⋮ On the polyconvolution operator with a trigonometric weight function for the Hartley integral transforms and applications ⋮ Some results of Watson and Plancherel‐type integral transforms related to the Hartley, Fourier convolutions and applications ⋮ On the Fourier-sine and Kontorovich-Lebedev generalized convolution transforms and their applications ⋮ Generalized convolution with two parameters for the Hankel transform and related integral operators ⋮ Integral transforms of Fourier cosine and sine generalized convolution type ⋮ Hankel Generalized Convolutions with the Associated Legendre Functions in the Kernel and Their Applications ⋮ A class of integral transforms related to the fourier cosine convolution ⋮ A class of integral transforms related to the fourier cosine convolution ⋮ Toeplitz plus Hankel integral equation ⋮ On the Fourier–Laplace convolution transforms ⋮ A Fourier generalized convolution transform and applications to integral equations ⋮ Operational properties of the Hartley convolution and its applications ⋮ On Fourier – Kontorovich–Lebedev generalized convolution transforms

Cites Work

• Integral transforms of Fourier cosine convolution type
• A new convolution theorem for the Stieltjes transform and its application to a class of singular integral equations
• Convolution of Hankel transform and its application to an integral involving Bessel functions of first kind
• Some applications of the convolution theorem of the hilbert transform
• Fourier Transforms. (AM-19)
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