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Explore open problems in Fourier analysis through this 48-minute lecture delivered by Stefan Steinerberger from the University of Washington Seattle as part of the "Fourier Analysis & Beyond I" mini-course at IMPA. Delve into cutting-edge research questions and unsolved challenges in the field of Fourier analysis, gaining insight into current mathematical frontiers and potential research directions. Learn about the interface between Fourier analysis and other mathematical areas through the perspective of an expert researcher. This presentation forms part of a comprehensive workshop held at the Instituto de Matemática Pura e Aplicada in Rio de Janeiro, designed to introduce the young mathematical community to advanced topics while bringing together specialists to share recent contributions and stimulate new research directions. The lecture provides valuable exposure to the open questions that drive contemporary research in harmonic analysis and related fields.
