Bispectral algebras of commuting ordinary differential operators

被引：36

作者：

Bakalov, B ^{[1
]}

Horozov, E ^{[1
]}

Yakimov, M ^{[1
]}

机构：

[1] Univ Sofia, Dept Math & Informat, BU-1126 Sofia, Bulgaria

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1997年 / 190卷 / 02期

关键词：

D O I：

10.1007/s002200050244

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We develop a systematic way for constructing bispectral algebras of commuting ordinary differential operators of any rank N. it combines and unifies the ideas of Duistermaat-Grunbaum and Wilson. Our construction is completely algorithmic and enables us to obtain all previously known classes or individual examples of bispectral operators. The method also provides new broad families of bispectral algebras which may help to penetrate deeper into the problem.

引用

页码：331 / 373

页数：43

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