Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Boundary Control method and De Branges spaces. Schr\"odinger equation,
  Dirac system and Discrete Schr\"odinger operator   In the framework of the application of the Boundary Control method to solving
the inverse dynamical problems for the one-dimensional Schr\"odinger and Dirac
operators on the half-line and semi-infinite discrete Schr\"odinger 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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The categories of this paper are: nlin
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
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The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio