19 citations · 36 across the 21 of their papers we have counts for
7 papers · 1 filter
Representations of Fundamental Groups of Compact Kahler Manifolds in Solvable Matrix Groups
Alexander Brudnyi
In the paper we prove a factorization theorem for representations of fundamental groups of compact Kähler manifolds ({\em Kähler groups}) into solvable matrix groups. We apply this…
Topology of the Maximal Ideal Space of
Alexander Brudnyi
We study the structure of the maximal ideal space of the algebra $H^{\infty}=H^{\infty}(\Di)$ of bounded analytic functions defined on the open unit disk $\Di\subse…
Limit Cycles and the Distribution of Zeros of Families of Analytic Functions
Alexander Brudnyi
We estimate the expected number of limit cycles situated in a neighbourhood of the origin of a planar polynomial vector field. Our main tool is a distributional inequality for the…
Traces of Subharmonic Functions to Fractal Sets
Alexander Brudnyi
We study traces of a class of subharmonic functions to Ahlfors regular subsets of $\Co^{n}$. In particular, we establish for the traces a generalized BMO-property and the reverse H…
On Local Behavior of Analytic Functions
Alexander Brudnyi
We prove local inequalities for analytic functions defined on a convex body in which generalize well-known classical inequalities for polynomials.
Classification Theorem for a Class of Flat Connections and Representations of Kahler Groups
Alexander Brudnyi
The paper presents a classification theorem for the class of flat connections with triangular (0,1)-components on a topologically trivial complex vector bundle over a compact Kahle…