On the polyconvolution with the weight function $\gamma(y)=\cos y$ of Hartley integral transforms $\mathcal H_1,$ $\mathcal H_2,$ $\mathcal H_1$ and integral equations

N. M.  Khoa; T. V.  Thang

doi:10.37863/umzh.v75i4.6971

N. M. Khoa Department of Mathematics, Electric Power University, Hanoi, Vietnam
T. V. Thang Department of Mathematics, Electric Power University, Hanoi, Vietnam

DOI: https://doi.org/10.37863/umzh.v75i4.6971

Keywords: Integral equation, convolution, polyconvolution, Hartley transforms

Abstract

UDC 517.5

We construct and investigate new polyconvolution with the weight function $\gamma(y)=\cos y$ of Hartley integral transforms $\mathcal H_1,$ $\mathcal H_2,$ $\mathcal H_1$ and apply it to solve integral equations and a system of integral equations of polyconvolution type.

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