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Bispectral algebras of commuting ordinary differential operators

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Type
Preprint
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Submission Date
Identifiers
DOI: 10.1007/s002200050244
arXiv ID: q-alg/9602011
Source
arXiv
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Abstract

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-Gr\"unbaum 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.

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