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arXiv · 1701.08424

Boundary Control method and De Branges spaces. Schrödinger equation, Dirac system and Discrete Schrödinger operator

Alexander S. Mikhaylov·Victor S. Mikhaylov
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Abstract

In the framework of the application of the Boundary Control method to solving the inverse dynamical problems for the one-dimensional Schrödinger and Dirac operators on the half-line and semi-infinite discrete Schrödinger operator, we establish the connections with the method of De Branges: for each of the system we construct the De Branges space and give a natural dynamical interpretation of all its ingredients: the set of function the De Brange space consists of, the scalar product, the reproducing kernel.

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Alexander S. Mikhaylov, Victor S. Mikhaylov. 2017-01-29. Boundary Control method and De Branges spaces. Schrödinger equation, Dirac system and Discrete Schrödinger operator. https://doi.org/10.1016/j.jmaa.2017.12.013

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