6 citations · 7 across the 2 of their papers we have counts for
4 papers
Commutative Rings of Differential Operators Corresponding to Multidimensional Algebraic Varieties
A. E. Mironov
We construct new examples of multidimensional commuting matrix differential operators and a multidimensional analog of the Kadomtsev--Petviashvili hierarchy.
Real Commuting Differential Operators Connected with Two-Dimensional Abelian Varieties
A. E. Mironov
We indicate smooth real commuting matrix differential operators whose eigenvalues and eigenfunctions are parametrized by two-dimensional principally polarized abelian varieties.
Commutative rings of differential operators connected with two-dimensional Abelian varieties
A. E. Mironov
In this paper we find the explicit formulas of two dimensional commuting ()-matrix differential operators which were introduced by Nakayashiki. The common eigen function…
On nonlinear equations integrable in theta functions of nonprincipally polarized Abelian varieties
A. E. Mironov
The formula of expanding the Abel variety theta function restricted to Abel subvariety into theta functions of this subvariety is obtained. With the help of this formula the soluti…