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math.CV2009
Holomorphic semi-almost periodic functions
A. Brudnyi, D. Kinzebulatov
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 algebr…
math.CV2008
Approximation theorems for Banach-valued almost periodic and semi-almost periodic holomorphic functions
A. Brudnyi, D. Kinzebulatov
The paper studies semi-almost periodic holomorphic functions on a polydisk which have, in a sense, the weakest possible discontinuities on the boundary torus. The basic result used…
math.CV2006
On uniform subalgebras of L^\infty on the unit circle generated by almost periodic functions
A. Brudnyi, D. Kinzebulatov
In the present paper we introduce analogs of almost periodic functions on the unit circle. We study certain uniform algebras generated by such functions, prove corona theorems for…