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The Bispectral Problem

by Alex Kasman , John P. Harnad

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Comprises 16 papers from the March 1997 meeting on the subject in Montreal. The focus is on the search for solutions to eigenvalue problems that satisfy additional equations in the spectral parameter such as pairs of eigenvalue equations. Among the topics: automorphisms of the weyl algebra and bispectral operators, Huygens Principle, beyond the classical orthogonal polynomials, dual isomonodromic deformations, Darboux transformations, explicit formulas for the Airy and Bessel bispectral involutions in terms of Calogero-Moser pairs, Baker-Akhiezer functions and the bispectral problem in many dimensions, and the geometry of spinors and the multicomponent BKP and DKP hierarchies. Annotation copyrighted by Book News, Inc., Portland, OR

Genre: Mathematics / Algebra / General (fancy, right?)

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