Calogero-Moser pairs and the Airy and Bessel bispectral involutions

Abstract

Explicit formulae are given for the Airy and Bessel bispectral involutions, in terms of Calogero-Moser pairs. Hamiltonian structure of the motion of the poles of the operators is discussed.

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References in corpus (2)

• Bispectral Darboux Transformations: The Generalized Airy Case
• Highest weight modules of W_{1+infty}, Darboux transformations and the bispectral problem

Cited by in corpus (1)

• Bispectral algebras of commuting ordinary differential operators