DOI

We consider a class of Jacobi matrices with unbounded entries in the so-called critical (double root, Jordan block) case. We prove a formula which relates the spectral density of a matrix to the asymptotics of orthogonal polynomials associated with it.
Original languageEnglish
Pages (from-to)94-112
Number of pages19
JournalFunctional Analysis and its Applications
Volume55
Issue number2
DOIs
StatePublished - Apr 2021

    Research areas

  • Jacobi matrix, Levinson theorem, Titchmarsh–Weyl theory, asymptotics, generalized eigenvector, orthogonal polynomials, spectral density, PERTURBATIONS, SUBORDINACY, GENERALIZED EIGENVECTORS, Titchmarsh-Weyl theory, ASYMPTOTICS, ORTHOGONAL POLYNOMIALS, ABSOLUTELY CONTINUOUS-SPECTRUM, PERIODIC SCHRODINGER OPERATOR, ZEROS

    Scopus subject areas

  • Analysis
  • Applied Mathematics

ID: 88238247