- February 11, 2011, Friday - 15h00 (Room P
3.10):
Alexei Karlovich
(Universidade Nova de Lisboa and Centro de Análise Funcional e
Aplicações, IST)
" Singular
integral operators with shifts and slowly oscillating data "
Abstract. Suppose we are given an orientation
preserving diffeomorphism (shift) of the semi-axis onto itself
with the only fixed points zero and the point at infinity. We establish
Fredholmn
criteria for a class of singular integral operator with shift under the
assumptions that the coefficients and the
derivative of the shift are bounded and continuous on the open
semi-axis
and may admit discontinuities of slowly oscillating type at zero and at
infinity. In this talk we briefly discuss the proof of the sufficiency
part (presented at WOTCA 2010) and give a more detailed account on the
proof of the necessity part. This talk is based on the joint work with
Yuri Karlovich and Amarino Lebre.
Past Seminars
2010/11
2009/10
2008/09
2007/08
2006/07
2005/06
2004/05
2003/04
2002/03
2001/02
2000/01
1999/2000
1998/99
1997/98
1996/97
1995/96
Seminars take place in
Lisbon, I.S.T. -
Post Graduation Building
