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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
DOI: 10.7153/mia-2019-22-49
ISSN: 1331-4343
Publisher Version:
Appears in Collections:CIDMA - Artigos
FAAG - Artigos

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