TY: JOUR T1 - New convolutions weighted by Hermite functions and their applications A1 - Castro, L. P. A1 - Guerra, R. C. A1 - Tuan, N. M. N2 - 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. UR - https://ria.ua.pt/handle/10773/26079 Y1 - 2019 PB - Element D.O.O.