5 citations · 45 across the 42 of their papers we have counts for
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Almost periodic functions and an analytical method of solving the number partitioning problem
Lev Sakhnovich
In the present paper, we study the limit sets of the almost periodic functions . It is interesting that the values and may be expressed in the e…
The sine kernel, two corresponding operator identities, and random matrices
Lev Sakhnovich
In the present paper, we consider the integral operator, which acts in Hilbert space and has sine kernel. This operator generates two operator identities and two corresponding cano…
Characteristic function of M. Livšic and some developments
Lev Sakhnovich
The area related to M. Livšic's characteristic matrix functions is too vast to be discussed in one paper and we selected for this article the problems which are close to our scient…
Eigenfunction expansions and scattering theory associated with Dirac equation
Lev Sakhnovich
The classical Lippmann-Schwinger equation (LS equation) plays an important role in the scattering theory for the non-relativistic case (Schrödinger equation). In our previous paper…
Convolution type form of the Ito representation of the infinitesimal generator for Levy processes
Lev Sakhnovich
In the present paper we show that the Ito representation of the infinitesimal generator for Levy processes can be written in a convolution type form. Using the obtained convolu…
Effective construction of a class of positive operators in Hilbert space, which do not admit triangular factorization
Lev Sakhnovich
A class of non-factorable positive operators is constructed. As a result, pure existence theorems in the well-known problems by Ringrose, Kadison and Singer are substituted by conc…