Title: Interpolation sets for nilsequences
Speaker: Anh N. Le (Ohio State University)
Speaker's URL: https://people.math.osu.edu/le.286/
Abstract: Interpolation sets are classical objects in harmonic analysis which have a natural generalization to ergodic theory regarding nilsequences. A set $E$ of natural numbers is an interpolation set for nilsequences if every bounded function on E can be extended to a nilsequence on $\mathbb{N}$. By a result of Strzelecki, lacunary sets are interpolation sets for nilsequences. In this talk, I show that no sub-lacunary sets are interpolation sets for nilsequences and the class of interpolation sets for nilsequences is closed under union with finite sets.
Zoom: https://osu.zoom.us/j/93885989739?pwd=bUNWdjgzMS93NHRUcmVZRkljTDBHZz09
Meeting ID: 938 8598 9739
Password: Mixing