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Explore open problems in Fourier analysis through this 46-minute lecture delivered by Stefan Steinerberger from the University of Washington Seattle as part of the "Fourier Analysis & Beyond I" mini-course series 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 theoretical foundations and practical applications that make these problems significant to the mathematical community. Discover how Fourier analysis intersects with other areas of mathematics and understand the methodologies used to approach these complex mathematical challenges. This presentation is part of a comprehensive workshop designed to introduce young researchers to topics at the interface of Fourier analysis and other mathematical areas while bringing together specialists to share recent contributions and stimulate new research directions.
