Geodesic
A Generalized Convolution with a Weight Function for the Fourier Cosine and Sine Transforms
Fractional calculus and applied analysis, Tome 7 (2004) no. 3, pp. 323-337

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A generalized convolution with a weight function for the Fourier cosine and sine transforms is introduced. Its properties and applications to solving a system of integral equations are considered.
Keywords: Convolution, Fourier Cosine Transform, Fourier Sine Transform, Integral Equation, 42A38, 42A76, 42A85, 42A96 
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Xuan Thao, Nguyen; Kim Tuan, Vu; Minh Khoa, Nguyen. A Generalized Convolution with a Weight Function for the Fourier Cosine and Sine Transforms. Fractional calculus and applied analysis, Tome 7 (2004) no. 3, pp. 323-337. http://geodesic.mathdoc.fr/item/FCAA_2004_7_3_a3/