A. Sakhnovich

activity

20152026

most citedSkew-selfadjoint Dirac systems with rational rectangular Weyl functions: explicit solutions of direct and inverse problems and integrable wave equations

5 citations · 5 across the 6 of their papers we have counts for

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math.CA2025

GBDT, multiplicative integrals and linear similarity

Alexander Sakhnovich

A GBDT version of the Bäcklund-Darboux transformation for a non-isospectral canonical system is considered. Applications to multiplicative integrals and their limit values, to char…

math.CA2024

Interpolation Khrushchev-type formulas for structured operators, inequalities and asymptotic relations

Alexander Sakhnovich

We show that interpolation results in the $S$ -nodes theory may be considered as Khrushchev-type formulas. If separation of the well-known Verblunsky (Schur) coefficients occurs in…

math.CA2024

$S$ -nodes, factorisation of spectral matrix functions and corresponding inequalities

Alexander Sakhnovich

Using factorisation and Arov-Krein inequality results, we derive important inequalities (in terms of $S$ -nodes) in interpolation problems.

GBDT, multiplicative integrals and linear similarity

Interpolation Khrushchev-type formulas for structured operators, inequalities and asymptotic relations

S-nodes, factorisation of spectral matrix functions and corresponding inequalities

$S$ -nodes, factorisation of spectral matrix functions and corresponding inequalities