Next talk of the Seminar (16:10, Room Sousa Pinto):
14/12/2018: "
Multidimensional integral equations with four kernels and associated
convolutions"
Rita Guerra (CIDMA & Department of Mathematics, University of Aveiro)
This talk is devoted to study the
solvability of a very general class of integral equations whose kernel
depends on four different functions. For that, we introduce eight new
convolutions weighted by multidimensional Hermite
functions and prove two Youngtype inequalities. Necessary and sufficient
conditions for the unique solvability of such integral equations are here
obtained.
This Seminar is supported in part by the
Portuguese Foundation for Science and Technology (FCT  Fundação para a Ciência e a Tecnologia),
through CIDMA  Center for Research and Development in Mathematics and
Applications, within project UID/MAT/04106/2013.
