Acta Mathematica Vietnamica
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On a generalized convolution with a weight-function for the Hartley and Fourier cosine transforms
Nguyen Minh Khoa
Abstract
In this paper, we introduce a 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.