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
@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/}
}
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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/