5 citations · 28 across the 36 of their papers we have counts for
6 papers · 1 filter
Kohn decomposition for forms on coverings of complex manifolds constrained along fibres
A. Brudnyi, D. Kinzebulatov
The classical result of J.J. Kohn asserts that over a relatively compact subdomain with boundary of a Hermitian manifold whose Levi form has at least positive…
Towards Oka-Cartan theory for algebras of holomorphic functions on coverings of Stein manifolds II
A. Brudnyi, D. Kinzebulatov
We establish basic results of complex function theory within certain algebras of holomorphic functions on coverings of Stein manifolds (such as algebras of Bohr's holomorphic almos…
Towards Oka-Cartan theory for algebras of holomorphic functions on coverings of Stein manifolds I
A. Brudnyi, D. Kinzebulatov
We develop complex function theory within certain algebras of holomorphic functions on coverings of Stein manifolds. This, in particular, includes the results on holomorphic extens…
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…
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…
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…