Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/33203
Title: | Convolutions and integral equations weighted by multi-dimensional Hermite functions |
Author: | Castro, L. P. Guerra, R. C. Tuan, N. M. |
Keywords: | Convolution Young’s inequality integral equation Hermite function Normed ring Wiener’s algebra |
Issue Date: | 2022 |
Publisher: | World Scientific Publishing |
Abstract: | 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 |
Publisher Version: | https://www.worldscientific.com/doi/10.1142/S1793557122501510 |
Appears in Collections: | CIDMA - Artigos DMat - Artigos FAAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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postprint_CaGuTu_2022.pdf | 286.42 kB | Adobe PDF | View/Open |
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