Avdonin's theorem on Riesz bases of exponentials - part 1

15.10.2024 11:30 - 13:00

Lukas Liehr (University of Vienna)

Avdonin's theorem constitutes a seminal finding in the study of Riesz bases of exponentials, and is extensively used also in recent contributions to the problem. The primary objective of this talk is to deliver a comprehensive and self-contained proof of Avdonin's theorem. Moreover, various corollaries stemming from Avdonin's theorem will be discussed, including results by Levin, Golovin, Katsnelson, and Kadec.

Reference: S. A. Avdonin, On the question of Riesz bases of exponential functions in L^2, Vestnik Leningrad Univ. Math. 7 (1979).

This is the first part of a presentation on this topic.

Organiser:
J. L. Romero and J. T. van Velthoven
Location:
SR10 (2nd floor)