7 citations · 11 across the 10 of their papers we have counts for
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Uniqueness theorems for almost periodic objects
Serhii Favorov, Olga Udodova
Uniqueness theorems are considered for various types of almost periodic objects: functions, measures, distributions, multisets, holomorphic and meromorphic functions.
On a Blaschke-type condition for subharmonic functions with two sets of singularities on the boundary
S. Favorov, L. Golinskii
Given two compact sets, and , on the unit circle, we study the class of subharmonic functions on the unit disk which can grow at the direction of and (sets of singul…
On critical points of Blaschke products
S. Favorov, L. Golinskii
We obtain an upper bound for the derivative of a Blaschke product, whose zeros lie in a certain Stolz-type region. We show that the derivative belongs to the space of analytic func…
Blaschke-type conditions for analytic functions in the unit disk: inverse problems and local analogs
S. Favorov, L. Golinskii
We continue the study of analytic functions in the unit disk of finite order with arbitrary set of singular points on the unit circle, introduced in \cite{FG}. The main focus here…
Entire functions of exponential type, almost periodic in Besicovitch's sense on the real hyperplane
S. Yu. Favorov, O. I. Udododva
Suppose that an almost periodic in Besicovitch's sense function of several variables is the restriction to the real hyperplane of an entire function of exponential type .…
A Blaschke-type condition for analytic and subharmonic functions and application to contraction operators
S. Favorov, L. Golinskii
Let be a closed set on the unit circle. We find a Blaschke-type condition, optimal in a sense of the order, on the Riesz measure of a subharmonic function in the unit disk…