Geodesic
Polyconvolution and the Toeplitz plus Hankel integral equation
Electronic Journal of Differential Equations, Tome 2014 (2014).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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__a90,
     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},
     publisher = {mathdoc},
     volume = {2014},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a90/}
}
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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__a90/