Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/28231
Title: | New convolutions and their applicability to integral equations of Wiener-Hopf plus Hankel type |
Author: | Castro, Luis P. Guerra, Rita C. Tuan, Nguyen Minh |
Keywords: | Convolution Integral equation Factorization Fourier integral operator Wiener-Hopf operator Hankel operator |
Issue Date: | 15-May-2020 |
Publisher: | Wiley |
Abstract: | We propose four new convolutions exhibiting convenient factorization properties associated with two finite interval integral transformations of Fourier-type together with their norm inequalities. Moreover, we study the solvability of a class of integral equations of Wiener-Hopf plus Hankel type (on finite intervals) with the help of the factorization identities of such convolutions. Fourier-type series are used to produce the solution formula of such equations and a Shannon-type sampling formula is also obtained. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/28231 |
DOI: | 10.1002/mma.6236 |
ISSN: | 0170-4214 |
Appears in Collections: | CIDMA - Artigos DMat - Artigos FAAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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postprint_CastroGuerraTuan_2020.pdf | 266.34 kB | Adobe PDF | View/Open |
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