Please use this identifier to cite or link to this item: http://hdl.handle.net/10773/26921
Title: Convolution theorems related with the solvability of Wiener-Hopf plus Hankel integral equations and Shannon’s sampling formula
Author: Castro, Luís Pinheiro
Guerra, Rita Correia
Tuan, Nguyen Minh
Keywords: Convolution
Integral equation
Factorization
Fourier integral operator
Wiener-Hopf operator
Hankel operator
Issue Date: 5-Oct-2019
Publisher: De Gruyter
Abstract: This paper considers two nite integral transforms of Fourier-type, in view to propose a set of eight new convolutions, and to analyze the solvability of a class of the integral equations of Wiener-Hopf plus Hankel type, de ned on nite intervals, which is involved in engineering problems. The solvability and solution of the considered equations are investigated by means of Fourier-type series, and a Shannon-type sampling formula is obtained. Some concluding remarks with respect to theoretical issues and engineering applications are emphasized in the last section, along with the analysis of some illustrative cases, which exemplify that the present method solves cases which are not under the conditions of previously known techniques.
Peer review: yes
URI: http://hdl.handle.net/10773/26921
DOI: 10.1515/ms-2017-0297
ISSN: 0139-9918
Publisher Version: https://www.degruyter.com/view/j/ms.2019.69.issue-5/ms-2017-0297/ms-2017-0297.xml
Appears in Collections:CIDMA - Artigos
DMat - Artigos
FAAG - Artigos

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