New convolutions weighted by Hermite functions and their applications

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...

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Bibliographic Details
Main Author: Castro, L. P. (author)
Other Authors: Guerra, R. C. (author), Tuan, N. M. (author)
Format: article
Language:eng
Published: 2020
Subjects:
Online Access:http://hdl.handle.net/10773/26079
Country:Portugal
Oai:oai:ria.ua.pt:10773/26079