HARTMANN, Andreas; ROSS, William

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HARTMANN, Andreas
Institut de Mathématiques de Bordeaux [IMB]

ROSS, William
Department of Mathematics and Computer Science

Langue

Article de revue

Ce document a été publié dans

Publicacions Matemàtiques. 2012, vol. 56, n° 1, p. 191-223

Résumé en anglais

Functions in backward shift invariant subspaces have nice analytic continuation properties outside the spectrum of the inner function defining the space. Inside the spectrum of the inner function, Ahern and Clark showed that under some distribution condition on the zeros and the singular measure of the inner function, it is possible to obtain non-tangential boundary values of every function in the backward shift invariant subspace as well as for their derivatives up to a certain order. Here we will investigate, at least when the inner function is a Blaschke product, the non-tangential boundary values of the functions of the backward shift invariant subspace after having applied a co-analytic (truncated) Toeplitz operator. There appears to be a smoothing effect.< Réduire

Mots clés en italien

Continuation

Model spaces

Toeplitz operators

Truncated Toeplitz operators

URI

https://oskar-bordeaux.fr/handle/20.500.12278/190031

Project ANR

/ - ANR-09-BLAN-0058

Origine

Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251