On the Polyconvolution with the Weight Function for the Fourier Cosine, Fourier Sine, and the Kontorovich-Lebedev Integral Transforms

The polyconvolution with the weight function γ of three functions f,g, and h for the integral transforms Fourier sine (Fs), Fourier cosine (Fc), and Kontorovich-Lebedev (Kiy), which is denoted by ∗γ(f,g,h)(x), has been constructed. This polyconvolution satisfies the following factorization propert...

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Bibliographic Details
Main Author: Nguyen Xuan Thao
Format: Article
Language:English
Published: Hindawi Limited 2010-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2010/709607