4 citations · 4 across the 3 of their papers we have counts for
4 papers
Two-Dimensional Finite-Gap Schrodinger Operators as Limits of Two-Dimensional Integrable Difference Operators
P. A. Leonchik, G. S. Mauleshova, A. E. Mironov
In this paper we study two-dimensional discrete operators whose eigenfunctions at zero energy level are given by rational functions on spectral curves. We extend discrete operators…
Integrable Billiards and Related Topics
Misha Bialy, Andrey E. Mironov
This paper surveys our results on integrable billiards. We consider various models of billiards, including Birkhoff, outer, magnetic, and Minkowski billiards. Also, we discuss wire…
Two-dimensional discrete operators and rational functions on algebraic curves
Polina A. Leonchik, Andrey E. Mironov
In this paper we study a connection between finite-gap on one energy level two-dimensional Schrodinger operators and two-dimensional discrete operators. We find spectral data for a…
One-point commuting difference operators of rank one
Gulnara S. Mauleshova, Andrey E. Mironov
We consider one-point commuting difference operators of rank one. The coefficients of these operators depend on a functional parameter, shift operators being included only with pos…