Nguyen Xuan Thao, Nguyen Minh Khoa, Phi Thi Van Anh
Abstract:
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 email: thaonxbmai@yahoo.com |
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Nguyen Minh Khoa Department of Mathematics, Electric Power University 235 Hoang Quoc Viet, Cau Giay, Hanoi, Vietnam email: khoanm@epu.edu.vn |
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Phi Thi Van Anh Department of Mathematics University of Transport and Communications Lang Thuong, Dong Da, Hanoi, Vietnam email: vananh.utcmath@gmail.com |
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