Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10773/26920
Título: | On integral operators and equations generated by cosine and sine Fourier transforms |
Autor: | Castro, L. P. Guerra, R. C. Tuan, N. M. |
Palavras-chave: | Integral operator Integral equation Parseval type identity Involution Convolution Solvability |
Data: | 4-Dez-2018 |
Editora: | AIP Publishing |
Resumo: | 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 |
Versão do Editor: | https://aip.scitation.org/doi/pdf/10.1063/1.5081533 |
Aparece nas coleções: | CIDMA - Artigos DMat - Artigos FAAG - Artigos |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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CaGuTu_december_2018.pdf | 544.2 kB | Adobe PDF | Ver/Abrir |
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