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Explore the intersection of Fourier uncertainty principles and the Klein-Gordon equation in this 47-minute conference talk delivered at IMPA's "Fourier Analysis & Beyond" workshop. Delve into advanced mathematical concepts as the speaker examines how Fourier analysis techniques apply to this fundamental partial differential equation in mathematical physics. Learn about the theoretical foundations connecting uncertainty principles in harmonic analysis to the behavior of solutions in the Klein-Gordon framework. Discover recent research developments in this specialized area where Fourier analysis meets mathematical physics, presented as part of a comprehensive workshop designed to showcase cutting-edge topics at the interface of Fourier analysis and related mathematical fields. Gain insights into contemporary research directions in harmonic analysis and its applications to partial differential equations, suitable for graduate students and researchers working in mathematical analysis, harmonic analysis, or mathematical physics.
