

Complex analysis and mathematical physics
March 30, 2015 16:00–18:00, Moscow, Steklov Mathematical Institute, Room 430 (8 Gubkina)






De Branges spaces and canonical systems
A. D. Baranov^{} ^{} St. Petersburg State University, Department of Mathematics and Mechanics

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Abstract:
In this talk we give a survey of the basics of the de Branges spaces' theory and its applications to the spectral theory of canonical systems of differential equations. We plan to discuss the following topics: special classes of canonical systems, generalized Fourier transform, axiomatic and analytic description of de Branges spaces, ordered structure of subspaces in de Branges spaces, inverse spectral theorem for canonical systems.

