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|Title:||New convolutions weighted by Hermite functions and their applications|
|Author:||Castro, L. P.|
Guerra, R. C.
Tuan, N. M.
|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.|
|Appears in Collections:||CIDMA - Artigos|
FAAG - Artigos
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