Polyconvolution and the Toeplitz plus Hankel integral equation
Electronic journal of differential equations, Tome 2014 (2014)
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.
Classification :
44A05, 44A15, 44A20, 44A35, 45E10
Keywords: convolution, polyconvolution, integral equation, integral transform, Toeplitz plus Hankel
Keywords: convolution, polyconvolution, integral equation, integral transform, Toeplitz plus Hankel
@article{EJDE_2014__2014__a190,
author = {Thao, Nguyen Xuan and Khoa, Nguyen Minh and Van Anh, Phi Thi},
title = {Polyconvolution and the {Toeplitz} plus {Hankel} integral equation},
journal = {Electronic journal of differential equations},
year = {2014},
volume = {2014},
zbl = {1297.44007},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a190/}
}
TY - JOUR AU - Thao, Nguyen Xuan AU - Khoa, Nguyen Minh AU - Van Anh, Phi Thi TI - Polyconvolution and the Toeplitz plus Hankel integral equation JO - Electronic journal of differential equations PY - 2014 VL - 2014 UR - http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a190/ LA - en ID - EJDE_2014__2014__a190 ER -
Thao, Nguyen Xuan; Khoa, Nguyen Minh; Van Anh, Phi Thi. Polyconvolution and the Toeplitz plus Hankel integral equation. Electronic journal of differential equations, Tome 2014 (2014). http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a190/