Canonical Systems on Spectral Theory

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Canonical Systems on Spectral Theory

수리과학부 0 2872
구분 작용소 세미나
일정 2018-05-16(수) 16:00~18:00
세미나실 129동 301호
강연자 허인조 (UNIST)
담당교수 이훈희
기타
In this talk, we explore canonical systems in the viewpoint of spectral theory. First we see that canonical systems are (the most) natural generalization of eigenvalue equations for Schrodinger operators, Jacobi matrices (so far, Sturm-Liouville operators) and Dirac operators. This generalization can be performed without changing their spectra via Weyl-Titchmarsh m-functions. Moreover, by introducing the time variable, we try extend Kortweq-de Vries (KdV) flows to canonical system flows via so-called zero-curvature equation in two natural ways.

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