5 papers
A measurable equivariant Weierstrass theorem
Konstantin Slutsky, Mikhail Sodin, Aron Wennman
This paper is a prequel to our recent work, "Equivariant Borel liftings in complex analysis and PDE" (arXiv:2507.12058). While the results presented here were established in that w…
When a meromorphic function that omits three values is of bounded type
Alexandre Eremenko, Aleksei Kulikov, Mikhail Sodin
Suppose that a function is meromorphic in the domain , where is an even, positive, and continuous function…
Equivariant Borel liftings in complex analysis and PDE
Konstantin Slutsky, Mikhail Sodin, Aron Wennman
We establish Borel equivariant analogues of several classical theorems from complex analysis and PDE. The starting point is an equivariant Weierstrass theorem for entire functions:…
Iossif Ostrovskii's work on entire functions
Alexandre Eremenko, Mikhail Sodin
The theory of entire functions and its applications were at the center of Ostrovskii's research interests throughout his entire career. He made lasting contributions to several asp…
Entire functions of exponential type represented by pseudo-random and random Taylor series
Alexander Borichev, Alon Nishry, Mikhail Sodin
We study the influence of the multipliers on the angular distribution of zeroes of the Taylor series \[ F_ξ(z) = \sum_{n\ge 0} ξ(n) \frac{z^n}{n!}\,. \] We show that the dis…