Seminário Análise Funcional e Aplicações 

14/01/2011, 15:00 — 16:00 — Sala P3.10, Pavilhão de Matemática
Yuri Karlovich, Universidad Autónoma del Estado de Morelos, Cuernavaca, México

On the Haseman boundary value problem

A Fredholm criterion and an index formula are established for the singular integral operator with a shift associated to the Haseman boundary value problem with oscillating data on star-like curves in the weighted Lebesgue space setting. The study is based on the theory of Mellin pseudodifferential operators. Applications to index calculations for singular integral operators with a shift will be discussed.