Перегляд за автором "Sakhnovich, A."

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Bäcklund-Darboux Transformation for Non-Isospectral Canonical System and Riemann-Hilbert Problem

Sakhnovich, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)

A GBDT version of the Bäcklund-Darboux transformation is constructed for a non-isospectral canonical system, which plays essential role in the theory of random matrix models. The corresponding Riemann-Hilbert problem is ...
The Discrete Self-Adjoint Dirac Systems of General Type: Explicit Solutions of Direct and Inverse Problems, Asymptotics of Verblunsky-Type Coefficients and the Stability of Solving of the Inverse Problem

Roitberg, I.; Sakhnovich, A. (Журнал математической физики, анализа, геометрии, 2018)

We consider discrete self-adjoint Dirac systems determined by the potentials (sequences) {Ck} such that the matrices Ck are positive definite and j-unitary, where j is a diagonal m × m matrix which has m1 entries 1 and m2 ...

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