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Iossif Ostrovskii's work on entire functions

Alexandre Eremenko, Mikhail Sodin

Abstract

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 aspects of this theory, and many of his works had a significant influence on subsequent research. In this note, we describe some of this work.

Iossif Ostrovskii's work on entire functions

Abstract

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 aspects of this theory, and many of his works had a significant influence on subsequent research. In this note, we describe some of this work.
Paper Structure (10 sections, 51 equations)

This paper contains 10 sections, 51 equations.

Table of Contents

  1. Parametrization of class $\frak F$.
  2. Spectrum of Hill's operator.
  3. Related spectral problems.
  4. Finite-band potentials and their closure.
  5. Almost-periodic and random ergodic potentials.
  6. Chebyhsev-type extremal problems.
  7. Pell's equation.
  8. Entire functions of Krein's class.
  9. Vinberg combs. Pólya functions.
  10. Acknolwedgments.