交换常微分算子的双谱代数
Bispectral algebras of commuting ordinary differential operators
摘要：
我们发展了一种系统的方法来构造任意秩的交换常微分算子的双谱代数$N$。它结合并统一了Duistermaat-Grünbaum和Wilson的思想。我们的建设是完全算法，使我们能够获得所有以前已知的类或个别例子的双谱算子。该方法还提供了新的广泛的家庭的双谱代数，这可能有助于深入到问题。
英文摘要：
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-Grünbaum 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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
