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.
