On the generalized convolution with a weight function for the Fourier sine and cosine transforms

Abstract

Abstract The generalized convolution with a weight function for the Fourier sine and cosine transforms is introduced. Its properties and applications to solving system of integral equations are considered. Keywords: ConvolutionFourier sine and cosine transformsIntegral equations of the convolution type Acknowledgements The authors express their deep gratitude to the late professor Kakichev V. A. who transmitted us ardent zeal and this research orientation.