Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/26920
Title: | On integral operators and equations generated by cosine and sine Fourier transforms |
Author: | Castro, L. P. Guerra, R. C. Tuan, N. M. |
Keywords: | Integral operator Integral equation Parseval type identity Involution Convolution Solvability |
Issue Date: | 4-Dec-2018 |
Publisher: | AIP Publishing |
Abstract: | In this paper, we study some properties of a class of integral operators that depends on the cosine and sine Fourier transforms. In particular, we will exhibit properties related with their invertibility, the spectrum, Parseval type identities and involutions. Moreover, a new convolution will be proposed and consequent integral equations will be also studied in detail. Namely, we will characterize the solvability of two integral equations which are associated with the integral operator under study. Moreover, under appropriate conditions, the unique solutions of those two equations are also obtained in a constructive way. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/26920 |
DOI: | 10.1063/1.5081533 |
ISSN: | 0094-243X |
Publisher Version: | https://aip.scitation.org/doi/pdf/10.1063/1.5081533 |
Appears in Collections: | CIDMA - Artigos DMat - Artigos FAAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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CaGuTu_december_2018.pdf | 544.2 kB | Adobe PDF | View/Open |
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