Weyl matrix functions and inverse problems for discrete Dirac type self-adjoint system: explicit and general solutions

Weyl matrix functions and inverse problems for discrete Dirac type self-adjoint system: explicit and general solutions

Oper. Matrices 2 (2008) 201-231 Discrete Dirac type self-adjoint system is equivalent to the block Szeg\"o recurrence. Representation of the fundamental solution is obtained, inverse problems on the interval and semi-axis are solved. A Borg-Marchenko type result is obtained too. Connections wit...

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Hauptverfasser: Fritzsche, B, Kirstein, B, Roitberg, I. Ya, Sakhnovich, A. L
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Classical Analysis and ODEs
Mathematics - Spectral Theory
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Zusammenfassung:Oper. Matrices 2 (2008) 201-231 Discrete Dirac type self-adjoint system is equivalent to the block Szeg\"o recurrence. Representation of the fundamental solution is obtained, inverse problems on the interval and semi-axis are solved. A Borg-Marchenko type result is obtained too. Connections with the block Toeplitz matrices are treated.
DOI:10.48550/arxiv.math/0703369