Toeplitz operators and Wiener-Hopf factorisation: an introduction

M. Cristina Câmara. "Toeplitz operators and Wiener-Hopf factorisation: an introduction." Concrete Operators 4.1 (2017): 130-145. <http://eudml.org/doc/288573>.

@article{M2017,
abstract = {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)},
author = {M. Cristina Câmara},
journal = {Concrete Operators},
keywords = {Toeplitz operator; Wiener-Hopf factorisation; Singular integral equations},
language = {eng},
number = {1},
pages = {130-145},
title = {Toeplitz operators and Wiener-Hopf factorisation: an introduction},
url = {http://eudml.org/doc/288573},
volume = {4},
year = {2017},
}

TY - JOUR
AU - M. Cristina Câmara
TI - Toeplitz operators and Wiener-Hopf factorisation: an introduction
JO - Concrete Operators
PY - 2017
VL - 4
IS - 1
SP - 130
EP - 145
AB - 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)
LA - eng
KW - Toeplitz operator; Wiener-Hopf factorisation; Singular integral equations
UR - http://eudml.org/doc/288573
ER -