Unique Continuation Properties - From Discrete to Continuous

Explore unique continuation properties in this 54-minute conference talk that bridges discrete and continuous mathematical frameworks. Delve into advanced concepts in Fourier analysis as presented at the "Fourier Analysis & Beyond" workshop at IMPA, Rio de Janeiro. Learn how unique continuation properties manifest across different mathematical contexts, from discrete settings to continuous domains, and discover their applications in modern mathematical research. Examine the theoretical foundations and practical implications of these properties, gaining insights into cutting-edge developments at the intersection of Fourier analysis and related mathematical fields. Benefit from expert presentation by a researcher from BCAM & Ikerbasque, part of a comprehensive workshop designed to showcase recent contributions and stimulate new research directions in Fourier analysis and its applications to other mathematical areas.