4 citations · 7 across the 8 of their papers we have counts for
19 papers
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…
Contractibility of Maximal Ideal Spaces of Certain Algebras of Almost Periodic Functions
A. Brudnyi
We study some topological properties of maximal ideal spaces of certain algebras of almost periodic functions. Our main result is that such spaces are contractible. We present cert…
Metric Spaces with Linear Extensions Preserving Lipschitz Condition
A. Brudnyi, Yu. Brudnyi
We study a new bi-Lipschitz invariant λ(M) of a metric space M; its finiteness means that Lipschitz functions on an arbitrary subset of M can be linearly extended to functions on M…
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…