Bispectral Darboux transformations: The
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Alex Kasman; Mitchell Rothstein
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Article
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1997
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Elsevier Science
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English
⚖ 837 KB
This paper considers Darboux transformations ofa bispectral operator which preserve its bispectrality. A sufficient condition for this to occur is given, and applied to the case of generalized Airy operators of arbitrary order r > 1. As a result, the bispectrality of a large family of algebras of ra