19 citations · 36 across the 21 of their papers we have counts for
5 papers · 1 filter
Holomorphic L^{p}-functions on Coverings of Strongly Pseudoconvex Manifolds
Alexander Brudnyi
In this paper we will show how to construct holomorphic L^{p}-functions on unbranched coverings of strongly pseudoconvex manifolds. Also, we prove some extension and approximation…
On Local Behavior of Holomorphic Functions Along Complex Submanifolds of C^N
Alexander Brudnyi
In this paper we establish some general results on local behavior of holomorphic functions along complex submanifolds of $\Co^{N}$. As a corollary, we present multi-dimensional gen…
On Center Sets of ODEs Determined by Moments of their Coefficients
Alexander Brudnyi
The classical H. Poincaré Center-Focus problem asks about the characterization of planar polynomial vector fields such that all their integral trajectories are closed curves whose…
Corona Theorem for on Coverings of Riemann Surfaces of Finite Type
Alexander Brudnyi
In this paper continuing our work started in our earlier papers we prove the corona theorem for the algebra of bounded holomorphic functions defined on an unbranched covering of a…
Formal Paths, Iterated Integrals and the Center Problem for Ordinary Differential Equations
Alexander Brudnyi
We continue the study of the center problem for the ordinary differential equation started in our earlier papers. In this paper we present t…