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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
DOI: 10.1142/S1793557122501510
ISSN: 1793-5571
Publisher Version:
Appears in Collections:CIDMA - Artigos
DMat - Artigos
FAAG - Artigos

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