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Joint meeting of the General Mathematics Seminar (POMI) and St. Petersburg Mathematical Society dedicated to V. I. Arnold's 60th anniversary

Topological questions of wave propagation

V. I. Arnol'd

Moscow

Abstract: The topic of the report is applications of the Sturm–Gurwitz theorem on zeroes of Fourier series to simplectic topology, to the Morse theory of multi-valued functions, and to generalizations of the Moebius theorem on points of inflection.
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© Steklov Math. Inst. of RAS, 2024