Holomorphic semi-almost periodic functions
Complex Variables
2009-11-06 v1 Functional Analysis
Abstract
We study the Banach algebras of bounded holomorphic functions on the unit disk whose boundary values, having, in a sense, the weakest possible discontinuities, belong to the algebra of semi-almost periodic functions on the unit circle. The latter algebra contains as a special case an algebra introduced by Sarason in connection with some problems in the theory of Toeplitz operators.
Cite
@article{arxiv.0911.0954,
title = {Holomorphic semi-almost periodic functions},
author = {A. Brudnyi and D. Kinzebulatov},
journal= {arXiv preprint arXiv:0911.0954},
year = {2009}
}