The Bispectral Problem

John Harnad

ISBN 10: 0821809490 / ISBN 13: 9780821809495

Published by American Mathematical Society, US, 1998

About this Item

Although originally posed in the context of mathematical problems related to medical imaging, the bispectral problem is now closely related to other topics and has connections to many areas of pure and applied mathematics. The central theme of this book is the search for solutions to eigenvalue problems that satisfy additional equations in the spectral parameter, for example, pairs of eigenvalue equations. This problem, which looks very simple at first, has turned out to be both deep and difficult. Moreover, this concept of bispectrality has been shown to be useful in many active areas of current research in mathematics and physics.Following several years of exciting new results on the subject, in March 1997 the Centre de Recherches Mathematiques held the first scientific meeting devoted exclusively to the bispectral problem. Collected in this volume are contributions from the speakers at this meeting. The participants at this workshop included a majority of those researchers who have made significant contributions to the subject and many others working on related problems.

Seller Inventory # LU-9780821809495

Bibliographic Details

• Title: The Bispectral Problem
• Publisher: American Mathematical Society, US
• Publication Date: 1998
• Language: English
• ISBN 10: 0821809490
• ISBN 13: 9780821809495
• Binding: Paperback
• Condition: New
• Weight: 431 grams

About this title

Synopsis

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 c. by Book News, Inc., Portland, Or.