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Acta Mathematica Vietnamica

ON THE GENERALIZED CONVOLUTION FOR THE FOURIER SINE AND THE KONTOROVICH-LEBEDEV TRANSFORMS

TRINH TUAN, NGUYEN XUAN THAO, NGUYEN VAN MAU

Abstract

A generalized convolution for the Fourier sine transform and the Kontorovich - Lebedev integral transform is introduced. Several properties of this generalized convolution and its application to solve certain systems of integral equations are considered.