7 citations · 11 across the 10 of their papers we have counts for
10 papers
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.
Local Versions of the Wiener-Levi Theorem
Serhii Favorov
Let h be a real-analytic function in the neighborhood of some compact set K on the plane. We show that for any complex measure on the Euclidean space of a finite total variation wi…
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…
Tempered distributions with discrete support and spectrum
Serhii Favorov
We investigate properties of tempered distributions with discrete or countable supports such that their Fourier transforms are distributions with discrete or countable supports as…
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…