Mathematics – Quantum Algebra
Scientific paper
1996-02-04
Mathematics
Quantum Algebra
46 pages, LaTeX2e, uses amsfonts.sty and latexsym.sty, no figures, rearrangement of the introduction, skipping Conjecture 0.2
Scientific paper
10.1007/s002200050244
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.
Bakalov Bojko
Horozov Emil
Yakimov Milen
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