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http://hdl.handle.net/10773/33203
Título: | Convolutions and integral equations weighted by multi-dimensional Hermite functions |
Autor: | Castro, L. P. Guerra, R. C. Tuan, N. M. |
Palavras-chave: | Convolution Young’s inequality integral equation Hermite function Normed ring Wiener’s algebra |
Data: | 2022 |
Editora: | World Scientific Publishing |
Resumo: | We study the solvability of a very general class of integral equations whose kernel depends on four different functions. Necessary and sufficient conditions for the unique solvability of such integral equations are obtained. To achieve such goal, the main technique consists in introducing eight new convolutions weighted by multi-dimensional Hermite functions and use them as convolutions somehow associated with our integral equations. In the way, two Young-type inequalities are also obtained. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/33203 |
DOI: | 10.1142/S1793557122501510 |
ISSN: | 1793-5571 |
Versão do Editor: | https://www.worldscientific.com/doi/10.1142/S1793557122501510 |
Aparece nas coleções: | CIDMA - Artigos DMat - Artigos FAAG - Artigos |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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postprint_CaGuTu_2022.pdf | 286.42 kB | Adobe PDF | Ver/Abrir |
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