27/09/2019, 15:00 — 16:00 — Room P3.10, Mathematics Building
Rita Guerra, CIDMA, Universidade de Aveiro
Fourier-type operators, new convolutions and their applicability to integral equations
Considering new generalizations of the Fourier transform, besides studying their general properties, we construct new convolutions associated with such operators. Moreover, for the convolutions we obtain corresponding factorization identities and some norm inequalities. These convolutions allow us to consider new classes of integral equations and to study the solvability of different types of integral equations. Conditions for the existence of unique solutions of those equations are presented, as well as the corresponding explicit solutions.