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СЕМИНАРЫ |
Seminar on Analysis, Differential Equations and Mathematical Physics
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Nonlinear Fourier Analysis Зинченко Максим Университет Нью-Мексико |
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Аннотация: In this talk, I will give an overview of spectral theory as a nonlinear analog of Fourier analysis. As an illustration, I will discuss a system of exponentially interacting particles known as the Toda lattice whose solution is based on the spectral theory of Jacobi matrices. I will discuss some classical and more recent results in spectral theory of Jacobi matrices and, in particular, present nonlinear analogs of Riemann-Lebesgue lemma, Parseval's identity, and Paley-Wiener theorem. |