Functional Analysis and Applications Seminar 

05/07/2013, 14:30 — 15:30 — Room P3.10, Mathematics Building
Yuri Karlovich, Universidad Autónoma del Estado de Morelos, Cuernavaca, México

A boundary value problem with a finite group of Lipschitz shifts

Fredholm criteria and index formulas for singular integral operators with piecewise slowly oscillating coefficients and finite non-cyclic groups of Lipschitz shifts whose derivatives admit slowly oscillating discontinuities are established by applying the theory of Mellin pseudodifferential operators with non-regular symbols. Such operators studied on the Lebesgue spaces are related to boundary value problems with finite groups of shifts.