On a polyconvolution with a weight function for Fourier cosine and Laplace transforms

DOI10.1007/s40306-015-0154-8zbMath1360.44007OpenAlexW1861543814MaRDI QIDQ505576

Nguyen Minh Khoa

Publication date: 26 January 2017

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

Full work available at URL: https://doi.org/10.1007/s40306-015-0154-8

zbMATH Keywords

Fourier cosine transformFourier sine transformFourier transformHartley transformconvolutiongeneralized convolutionpolyconvolutionToeplitz-Hankel integral equation

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Laplace transform (44A10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Cites Work

• On the convolutions of Fourier-type transforms
• On a method for the construction of generalized integral convolutions
• On the convolution with a weight-function for the cosine-Fourier integral transform
• Convolution of Hankel transform and its application to an integral involving Bessel functions of first kind
• The Fourier-Laplace generalized convolutions and applications to integral equations
• On the polyconvolution for Hartley, Fourier cosine and Fourier sine transforms
• Convolutions related to the Fourier and Kontorovich–Lebedev transforms revisited
• On the generalized convolution with a weight function for the Fourier sine and cosine transforms
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