The Weighted Convolution for the Linear Canonical Sine-Cosine Transform and Its Applications
In this paper,the convolution operation and convolution theorem are used to discuss the solutions of two kinds of convolution integral equations.Firstly,based on the linear canonical sine transform and linear canonical cosine transform,the linear canonical sine-cosine convolution operation and weighted convolution operation are defined.Secondly,the corresponding convolution theorem is derived,and the relationship between the convolution defined in this paper and the Fourier sine and Fourier cosine convolution is studied.Finally,the solutions of two kinds of convolution integral equations are discussed,and the explicit solution are also given.
linear canonical sine transformlinear canonical cosine transformconvolution theoremintegral e-quation
万方数据
维普
