Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/26079
Title: | New convolutions weighted by Hermite functions and their applications |
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: | 2019 |
Publisher: | Element D.O.O. |
Abstract: | We introduce eight new convolutions weighted by multi-dimensional Hermite functions, prove two Young-type inequalities, and exhibit their applications in different subjects. One application consists in the study of 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 here obtained. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/26079 |
DOI: | 10.7153/mia-2019-22-49 |
ISSN: | 1331-4343 |
Publisher Version: | http://dx.doi.org/10.7153/mia-2019-22-49 |
Appears in Collections: | CIDMA - Artigos FAAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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2019_postprint_CaGuTu_MIA.pdf | 267.4 kB | Adobe PDF | View/Open |
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