4 citations · 7 across the 8 of their papers we have counts for
14 papers · 1 filter
Hartogs type theorems on coverings of Stein manifolds
Alexander Brudnyi
We prove an analog of the classical Hartogs extension theorem for certain (possibly unbounded) domains on coverings of Stein manifolds.
Integral Representations of Holomorphic Functions on Coverings of Pseudoconvex Domains in Stein Manifolds
Alexander Brudnyi
The classical integral representation formulas for holomorphic functions defined on pseudoconvex domains in Stein manifolds play an important role in the constructive theory of fun…
Holomorphic Functions of Slow Growth on Coverings of Pseudoconvex Domains in Stein Manifolds
Alexander Brudnyi
We apply the methods developed in [Br1] to study holomorphic functions of slow growth on coverings of pseudoconvex domains in Stein manifolds. In particular, we extend and strength…
On the Center Problem for Ordinary Differential Equations
Alex Brudnyi
The classical Center-Focus problem posed by H. Poincare in 1880's asks about the classification of planar polynomial vector fields such that all their integral trajectories are clo…
Cyclicity and Maximal Multiplicity for Zeros of Families of Analytic Functions
Alexander Brudnyi
Let f_λ be a family of holomorphic functions in the unit disk, holomorphic in parameter λ\in U\subset\C^{n}. We estimate the number of zeros of f_λ in a smaller disk via some chara…
A Grauert Type Theorem and Extension of Matrices with Entries in H^{\infty}
Alex Brudnyi
In the paper we prove an extension theorem for matrices with entries in H^{\infty}(U) for U being a Riemann surface of a special type. One of the main components of the proof is a…