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Explore dynamical sampling and frames in this 33-minute lecture by Akram Aldroubi from Vanderbilt University, presented at the Institut des Hautes Etudes Scientifiques (IHES). Delve into the emerging field of dynamical sampling, which focuses on recovering signals and evolution operators from space-time samples. Examine the abstract Initial Value Problem (IVP) in a separable Hilbert space and its applications in various problem types, including space-time sampling, system identification, and source term recovery. Gain insights into the mathematical formulation of these problems and their relevance in signal processing and analysis. Learn about open problems in the field and potential areas for further research. This lecture provides a comprehensive overview of dynamical sampling, making it valuable for researchers and students interested in applied mathematics, signal processing, and related fields.
