Holomorphic semi-almost periodic functions

Details Holomorphic semi-almost periodic functions Holomorphic semi-almost periodic functions

2009-11-05

arxiv.org/abs/0911.0954v1

Mathematics

Complex Variables

Scientific paper

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.

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