ON THE POLYCONVOLUTION WITH WEIGHT FUNCTION (y) = cos y FOR HARTLEY INTEGRAL TRANSFORMS H₁, H₂, H₃AND INTEGRAL EQUATIONS

UKRAINIAN MATHEMATICAL JOURNAL（2023）

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We construct and study a new polyconvolution with weight function gamma (y) = cos y for Hartley integral transforms H-1, H-2, H-3 and apply it to the solution of integral equations and a system of integral equations of polyconvolution type.

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ON THE POLYCONVOLUTION WITH WEIGHT FUNCTION (y) = cos y FOR HARTLEY INTEGRAL TRANSFORMS H1, H2, H3 AND INTEGRAL EQUATIONS

ON THE POLYCONVOLUTION WITH WEIGHT FUNCTION (y) = cos y FOR HARTLEY INTEGRAL TRANSFORMS H₁, H₂, H₃AND INTEGRAL EQUATIONS