ICTP Math Associates Seminar (Zoom Meeting) - Thursday 9 July, at 15:00 (Jorge Antezana)

[ICTP/math - Mabilo Koutou]

ICTP Math Associates Seminar


Thursday 9 July, at 15.00 (CET)


Speaker: Jorge Antezana (Universidad Nacional De La Plata)
http://jorgeantezana.weebly.com/


Title: Sampling, tilings, and quasicrystals


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Abstract: In the first part of this talk we will explore the connections
between the classical sampling theorem in Paley Wiener spaces and the
tiling properties of the corresponding spectra. More precisely, we will
discuss the connections with the Fuglede's theorem and the Fuglede's
conjecture.  In the second part, we will talk about the role of the model
sets in sampling problems. The model sets were introduced by Meyer to
study approximation of algebraic characters by continuous ones in locally
compact abelian groups. After the discovery of quasicrystals by Shechtman
in the eighties, the model sets became an important tool to describe the
diffraction patterns of these new materials.

Subject Tags: Functional Analysis, Harmonic Analysis