Toeplitz operators and Wiener-Hopf factorisation: an introduction

• Autorzy: M. Cristina Câmara
• Języki publikacji: EN

Abstrakty

EN

Wiener-Hopf factorisation plays an important role in the theory of Toeplitz operators. We consider here Toeplitz operators in the Hardy spaces Hp of the upper half-plane and we review how their Fredholm properties can be studied in terms of a Wiener-Hopf factorisation of their symbols, obtaining necessary and sufficient conditions for the operator to be Fredholm or invertible, as well as formulae for their inverses or one-sided inverses when these exist. The results are applied to a class of singular integral equations in L−1(ℝ)

Słowa kluczowe

EN

Toeplitz operator; Wiener-Hopf factorisation; Singular integral equations

Kategorie tematyczne

• 45E10: Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type)
• 47A68: Factorization theory (including Wiener-Hopf and spectral factorizations)
• 47B35: Toeplitz operators, Hankel operators, Wiener-Hopf operators

• Wydawca: De Gruyter Open
• Czasopismo: Concrete Operators
• Rocznik: 2017
• Tom: 4
• Numer: 1
• Strony: 130-145

Daty

wydano

2017-11-27

otrzymano

2017-03-22

zaakceptowano

2017-09-06

online

2017-11-09

Twórcy

autor

M. Cristina Câmara

• ,

Identyfikatory

DOI

10.1515/conop-2017-0010