dorsal/arxiv
View SchemaBispectral algebras of commuting ordinary differential operators
| Authors | B. Bakalov, E. Horozov, M. Yakimov |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9602011 |
| URL | https://arxiv.org/abs/q-alg/9602011 |
| DOI | 10.1007/s002200050244 |
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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"abstract": "We develop a systematic way for constructing bispectral algebras of commuting\nordinary differential operators of any rank $N$. It combines and unifies the\nideas of Duistermaat-Gr\\\"unbaum and Wilson. Our construction is completely\nalgorithmic and enables us to obtain all previously known classes or individual\nexamples of bispectral operators. The method also provides new broad families\nof bispectral algebras which may help to penetrate deeper into the problem.",
"arxiv_id": "q-alg/9602011",
"authors": [
"B. Bakalov",
"E. Horozov",
"M. Yakimov"
],
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"q-alg",
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],
"doi": "10.1007/s002200050244",
"title": "Bispectral algebras of commuting ordinary differential operators",
"url": "https://arxiv.org/abs/q-alg/9602011"
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