Nguyen Xuan Thao, Nguyen Minh Khoa, Phi Thi Van Anh
In this article we introduce a polyconvolution which related to the Hartley and Fourier cosine transforms. We prove some properties of this polyconvolution, and then solve a class of Toeplitz plus Hankel integral equations and systems of two Toeplitz plus Hankel integral equations.
Submitted November 23, 2013. Published April 16, 2014.
Math Subject Classifications: 44A05, 44A15, 44A20, 44A35, 45E10.
Key Words: Convolution; polyconvolution; integral equation; integral transform; Toeplitz plus Hankel.
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| Nguyen Xuan Thao |
School of Applied Mathematics and Informatics
Hanoi University of Science and Technology
No. 1, Dai Co Viet, Hanoi, Vietnam
| Nguyen Minh Khoa |
Department of Mathematics, Electric Power University
235 Hoang Quoc Viet, Cau Giay, Hanoi, Vietnam
| Phi Thi Van Anh |
Department of Mathematics
University of Transport and Communications
Lang Thuong, Dong Da, Hanoi, Vietnam
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