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math.SPAug 26, 2014
48
citations (OpenAlex)
authors
  • Roman Romanov
arXiv abstractPDF
paper

Canonical systems and de Branges spaces

arXiv:1408.6022

Abstract

This is an exposition of the inverse spectral theory of canonical systems based on de Branges spaces of entire functions

74 pages

Cited by in corpus (20)

  • The inverse spectral problem for indefinite strings
  • Spectral asymptotics for canonical systems
  • A spectral Szego theorem on the real line
  • Boundary Control method and De Branges spaces. Schrödinger equation, Dirac system and Discrete Schrödinger operator
  • De Branges canonical systems with finite logarithmic integral
  • A Lagrangian view on complete integrability of the two-component Camassa-Holm system
  • Szego condition and scattering for one-dimensional Dirac operators
  • Inverse dynamic problems for canonical systems and de Branges spaces
  • An inverse problem for weighted Paley-Wiener spaces
  • Wiener-Hopf operators admit triangular factorization
  • Reflectionless canonical systems, II. Almost periodicity and character-automorphic Fourier transforms
  • On the construction of de Branges spaces for dynamical systems associated with finite Jacobi matrices
  • An approach to universality using Weyl m-functions
  • Sampling measures, Muckenhoupt Hamiltonians, and triangular factorization
  • Synthesable differentiation-invariant subspaces
  • On the Heins Theorem
  • Stability of Dirac resonances
  • Jacobi matrices with lacunary spectrum
  • Limit behaviour of Weyl coefficients
  • De Branges functions of Schroedinger equations
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