Acta Mathematica Vietnamica
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On a Polyconvolution with a Weight Function for Fourier Cosine and Laplace Transforms
N. M. Khoapp. 549-562
Abstract
In this paper, we introduce the generalized convolution with a weight function for the Hartley and Fourier cosine transforms. Several algebraic properties and applications of this generalized convolution to solving a class of integral equations of Toeplitz plus Hankel type and a class of systems of integral equations are presented.