Seminari del Dipartimento di Matematica

Seminario del 2020

Karlheinz Groechenig

Totally positive functions, sampling, and Gabor frames

nell'ambito della serie: SEMINARI DI ANALISI MATEMATICA BRUNO PINI

analisi matematica

Totally positive functions play an important role in approximation theory and statistics. I will discuss some recent applications of totally positive functions in sampling theory and time-frequency analysis. At this time totally positive functions are the only functions for which optimal results for sampling in shift-invariant spaces and for Gabor frames have been proved.