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.
关键词
线性正则正弦变换/线性正则余弦变换/卷积定理/积分方程
Key words
linear canonical sine transform/linear canonical cosine transform/convolution theorem/integral e-quation
维普
万方数据