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Convolution theorems related with the solvability of Wiener-Hopf plus Hankel integral equations and Shannon's sampling formula

In: Mathematica Slovaca, vol. 69, no. 5
Lu%s Pinheiro Castro - Rita Correia Guerra - Nguyen Minh Tuan

Details:

Year, pages: 2019, 1149 - 1164
Keywords:
convolution, integral equation, factorization, Fourier integral operator, Wiener-Hopf operator, Hankel operator
About article:
This paper considers two finite 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, defined on finite 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.
How to cite:
ISO 690:
Castro, L., Guerra, R., Tuan, N. 2019. Convolution theorems related with the solvability of Wiener-Hopf plus Hankel integral equations and Shannon's sampling formula. In Mathematica Slovaca, vol. 69, no.5, pp. 1149-1164. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0297

APA:
Castro, L., Guerra, R., Tuan, N. (2019). Convolution theorems related with the solvability of Wiener-Hopf plus Hankel integral equations and Shannon's sampling formula. Mathematica Slovaca, 69(5), 1149-1164. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0297
About edition:
Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Published: 5. 10. 2019