Uzy Smilansky (The Weizmann Institute of Science)

Seminar Spectral Geometry
Visiter le site Internet / Visite the Web site: https://archimede.mat.ulaval.ca/agirouard/SpectralClouds/

Title: Can one hear a matrix? or The determination of a real symmetric matrix from spectral information

Abstract: The question asked in the title is addressed from two points of view: First, it will be shown that providing enough (term to be explained) spectral data, suffices to reconstruct a wide class of matrices. Second, a newly developed trace formula for Hermitian matrices will be shown to be intimately connected to this construction.