Functional Analysis and Applications Seminar 

15/12/2006, 15:00 — 16:00 — Room P3.10, Mathematics Building
Yuri Karlovich, Universidad Autónoma del Estado de Morelos, México

Algebras of singular integral operators with shifts

The talk is devoted to studying pseudodifferential operators with non-regular symbols and their applications to singular integral operators with shifts. Algebras of singular integral operators with discrete subexponential groups of shifts are studied on weighted Lebesgue spaces provided that the contour, the weight, the coefficients and the shifts are slowly oscillating. Applying a local-trajectory method and a theory of Mellin pseudodifferential operators with non-regular symbols, we construct Fredholm symbol calculi for the mentioned algebras of singular integral operators with shifts and establish corresponding Fredholm criteria.