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Complex analysis and mathematical physics
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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. |
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