Functional Analysis and Applications Seminar


(organized by the Functional Analysis and Applications Group)


Department of Mathematics, University of Aveiro




Next talk of the Seminar (16:10, Room Sousa Pinto):


14/12/2018: " Multi-dimensional 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 multi-dimensional Hermite functions and prove two Young-type 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.



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