Functional Analysis and Applications Seminar 

11/07/2014, 14:30 — 15:30 — Room P3.10, Mathematics Building
Yuri Karlovich, Universidad Autónoma del Estado de Morelos, Cuernavaca, México

Index Calculation for Fredholm Singular Integral Operators with Shifts

The problem of index calculation for Fredholm singular integral operators with shifts and piecewise slowly oscillating data on Lebesgue spaces is considered. Corresponding Fredholm criteria are essentially based on the theory of Mellin pseudodifferential operators with non-regular symbols. The index study is based on joint works with V. G. Kravchenko, A. Yu. Karlovich and A. B. Lebre.