17/06/2016, 15:00 — 16:00 — Room P3.10, Mathematics Building
Luís Castro, CIDMA, Universidade de Aveiro
Wiener-Hopf plus Hankel integral operators through a reproducing kernel Hilbert space framework
A reproducing kernel Hilbert space approach is proposed to study a class of Wiener-Hopf plus Hankel integral operators The existence of solutions of the equations governed by those operators will be described, and approximate representations of the solutions will be obtained by constructing appropriate auxiliary operators, positive definite matrices and a discretization procedure within a reproducing kernel Hilbert space framework. Moreover, conditions for the uniqueness of the solution are also obtained.