23 citations · 108 across the 19 of their papers we have counts for
20 papers
Normal forms for ordinary differential operators, II
J. Guo, A. B. Zheglov
In this paper, which is a follow-up of our first paper "Normal forms for ordinary differential operators, I", we extend the theory of normal forms for non-commuting operators, and…
Normal forms for ordinary differential operators, III
Junhu Guo, A. B. Zheglov
In this paper, which is a follow-up of our first paper "Normal forms for ordinary differential operators, I", we extend the explicit parametrisation of torsion free rank one sheave…
The Conjecture of Dixmier for the first Weyl algebra is true
Alexander Zheglov
Let be a field of characteristic zero, let be the first Weyl algebra. In this paper we prove that the Dixmier conjecture for the first Weyl algebra is tru…
Normal forms for ordinary differential operators, I
J. Guo, A. B. Zheglov
In this paper we develop the generalised Schur theory offered in the recent paper by the second author in dimension one case, and apply it to obtain a new explicit parametrisation…
Schur-Sato theory for quasi-elliptic rings
Alexander Zheglov
The notion of quasi-elliptic rings appeared as a result of an attempt to classify a wide class of commutative rings of operators found in the theory of integrable systems, such as…
On some questions around Berest's conjecture
Junhu Guo, Alexander Zheglov
Let be a field of characteristic zero, let be the first Weyl algebra. In this paper we prove the following two results. Assume there exists a non-zero pol…