5 citations · 5 across the 6 of their papers we have counts for
6 papers
Feynman's linear divergence problem
Alexander Sakhnovich, Lev Sakhnovich
First, we consider generalized wave and scattering operators and derive modifications of commutation relations (between scattering operators and unperturbed operators) when the cor…
GBDT with nontrivial seeds: explicit solutions of the focusing NLS equations and the corresponding Weyl functions
Alexander Sakhnovich
Our GBDT (generalised Bäcklund-Darboux transformation) approach is used to construct explicit solutions of the focusing nonlinear Schrödinger (NLS) equation in the case of the expo…
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…
Interpolation Khrushchev-type formulas for structured operators, inequalities and asymptotic relations
Alexander Sakhnovich
We show that interpolation results in the -nodes theory may be considered as Khrushchev-type formulas. If separation of the well-known Verblunsky (Schur) coefficients occurs in…
-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 -nodes) in interpolation problems.
Skew-selfadjoint Dirac systems with rational rectangular Weyl functions: explicit solutions of direct and inverse problems and integrable wave equations
B. Fritzsche, M. A. Kaashoek, B. Kirstein +1
In this paper we study direct and inverse problems for discrete and continuous time skew-selfadjoint Dirac systems with rectangular (possibly non-square) pseudo-exponential potenti…