Seminar 03.10.22 Le

Title: Interpolation sets for nilsequences

Speaker: Anh N. Le – Ohio State University

Abstract: Interpolation sets are classical objects in harmonic analysis whichhave a natural generalization to ergodic theory regardingnilsequences. A set $E$ of natural numbers is an interpolation set fornilsequences if every bounded function on E can be extended to anilsequence on $\mathbb{N}$. By a result of Strzelecki, lacunary setsare interpolation sets for nilsequences. In this talk, I show that nosub-lacunary sets are interpolation sets for nilsequences and theclass of interpolation sets for nilsequences is closed under unionwith finite sets.

Zoom link:

Meeting ID: 938 8598 9739

Password: Mixing

Recorded Talk: