2001/02/12 by Emil Horozov, E. Horozov, Horozov, E. +3
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Dynamical Systems (math.DS) #FOS: Mathematics #Nonlinear Waves and Solitons #math.DS
paper · pdf · doi:10.48550/arxiv.math/0102093
32 pages, latex
arxiv created 2001/02/12 · openalex publication_date 2001/02/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The aim of this paper is to classify the bispectral operators of any rank with regular singular points (the infinite point is the most important one). We characterise them in several ways. Probably the most important result is that they are all Darboux transformations of powers of generalised Bessel operators (in the terminology of q-alg/9602011). For this reason they can be effectively parametrised by the points of a certain (infinite) family of algebraic manifolds as pointed out in q-alg/9602011.