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

A.L. Sakhnovich; B. Fritzsche; B. Kirstein; I.Ya. Roitberg

arxiv: math/0703369 · v1 · pith:RQHUQZVTnew · submitted 2007-03-13 · 🧮 math.CA · math.SP

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

B. Fritzsche , B. Kirstein , I.Ya. Roitberg , A.L. Sakhnovich This is my paper

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keywords typeblockdiracdiscreteinverseobtainedproblemsself-adjoint

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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.

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

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