Damir Kinzebulatov
Oka-Cartan type theory for certain algebras of holomorphic functions on coverings of complex manifolds
Given an algebra of holomorphic functions on a covering of a complex manifold bounded over fibres of the covering (e.g. Bohr's holomorphic almost periodic functions), we obtain analogues of Cartan theorems A and B for coherent-type sheaves on the maximal ideal space of this algebra. This yields a number of results on interpolation within the algebra, divisors determined by the functions in the algebra etc.