5 citations · 8 across the 8 of their papers we have counts for
9 papers
Almost periodic currents, chains and divisors in tube domains
S. Favorov, A. Rashkovskii, L. Ronkin
A notion of almost periodic current is introduced, as well as a notion of almost periodic holomorphic chain proceeded from that definition. Such a chain can be defined either as a…
Almost periodic mappings to complex manifolds
S. Favorov, N. Parfyonova
H.Bohr in 1930 proved that if a holomorphic bounded function on a strip is almost periodic on a straight line in the strip, then it is almost periodic on the whole strip. We find s…
Meromorphic almost periodic functions
S. Favorov, N. Parfyonova
We study meromorphic functions in a strip almost periodic with respect to the spherical metric. Then we get a complete description of zeros and poles for this class of functions, f…
Solutions of algebraic equations with analytic almost periodic coefficients
V. Britik, S. Favorov
A continuous solution of an algebraic equation with holomorphic almost periodic coefficients is also almost periodic.
Almost periodic functions in finite-dimensional space with the spectrum in a cone
S. Favorov, O. Udodova
An almost periodic function in finite-dimensional space extends to a holomorphic bounded function in a tube domain with a cone in the base if and only if the spectrum belongs to th…
Almost periodicity in complex analysis
s. Favorov, A. Rashkovskii
This is a brief survey of up-to-date results on holomorphic almost periodic functions and mappings in one and several complex variables, mainly due to the Kharkov mathematical scho…