Applications of Blaschke products to the spectral theory of Toeplitz operators

Sergei Grudsky, Eugene Shargorodsky*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

2 Citations (Scopus)

Abstract

The chapter is a survey of some applications of Blaschke products to the spectral theory of Toeplitz operators. Topics discussed include Toeplitz operators with bounded measurable symbols, factorisation with an infinite index, compositions with Blaschke products, representation of functions with a given asymptotic behaviour of the argument in a neighbourhood of a discontinuity in the form of a composition of a continuous function with a Blaschke product, and applications to the KdV equation. 

Original languageEnglish
Title of host publicationBlaschke Products and Their Applications
EditorsJavad Mashreghi, Emmanuel Frician
PublisherSpringer
Pages1-30
Number of pages30
Volume65
ISBN (Electronic)978-1-4614-5341-3
ISBN (Print)978-14614-5340-6
DOIs
Publication statusPublished - 2013

Publication series

NameFields Institute Communications
Volume65
ISSN (Print)10695265

Keywords

  • Blaschke products
  • Discontinuous symbols
  • Spectral theory
  • Toeplitz operators

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