CaltechTHESIS
  A Caltech Library Service

Boundary behavior of Cauchy integrals and rank one perturbations of operators

Citation

Poltoratski, Alexei G. (1995) Boundary behavior of Cauchy integrals and rank one perturbations of operators. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechETD:etd-10122007-080912

Abstract

We develop new methods based on Rohlin-type decompositions of Lebesgue measure on the unit circle and on the real line to study the boundary behavior of Cauchy integrals. We also apply these methods to investigate the notion of Krein spectral shift of a self-adjoint operator. Using this notion we study the spectral properties of rank one perturbations of operators.

Item Type:Thesis (Dissertation (Ph.D.))
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Mathematics
Thesis Availability:Restricted to Caltech community only
Research Advisor(s):
  • Makarov, Nikolai G.
Thesis Committee:
  • Unknown, Unknown
Defense Date:5 May 1995
Record Number:CaltechETD:etd-10122007-080912
Persistent URL:http://resolver.caltech.edu/CaltechETD:etd-10122007-080912
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:4048
Collection:CaltechTHESIS
Deposited By: Imported from ETD-db
Deposited On:25 Oct 2007
Last Modified:26 Dec 2012 03:05

Thesis Files

[img] PDF (Poltoratski_a_1995.pdf) - Final Version
Restricted to Caltech community only
See Usage Policy.

2577Kb

Repository Staff Only: item control page