The bispectral problem
John Harnad, Alex Kasman, editors.
Providence, RI : American Mathematical Society, ©1998.
viii, 235 págs. ; 26 cm.
Serie: CRM proceedings & lecture notes, ISSN 1065-8580 ; v. 14
ISBN: 0821809490
Includes bibliographical references and index.
Reseña: MathSciNet, 98k:00011
Contenido
- Bojko Bakalov, Emil Horozov [E. I. Khorozov] and Milen Yakimov, Automorphisms of the Weyl algebra and bispectral operators
- Yuri Berest [Yu. Yu. Berest], Huygens' principle and the bispectral problem
- F. Alberto Grünbaum, Some bispectral musings
- Luc Haine, Beyond the classical orthogonal polynomials
- John Harnad, Bispectral operators, dual isomonodromic deformations and the Riemann-Hilbert dressing method
- Alex Kasman, Darboux transformations and the bispectral problem
- Fernando Levstein and Laura Felicia Matusevich, The discrete version of the bispectral problem
- Mitchell Rothstein, Explicit formulas for the Airy and Bessel bispectral involutions in terms of Calogero-Moser pairs
- Vyacheslav Spiridonov, Luc Vinet and Alexei Zhedanov [A. S. Zhedanov], Bispectrality and Darboux transformations in the theory of orthogonal polynomials
- Alexander P. Veselov [A. P. Veselov], Baker-Akhiezer functions and the bispectral problem in many dimensions
- George Wilson, Bispectral algebras of ordinary differential operators
- Jorge P. Zubelli, The bispectral problem, rational solutions of the master symmetry flows, and bi-Hamiltonian systems
- Victor Kac and Johan van de Leur, The geometry of spinors and the multicomponent BKP and DKP hierarchies
- Franco Magri, The Hamiltonian route to Sato Grassmannian
- Vladimir B. Matveev, Darboux transformations in associative rings and functional-difference equations
- Aleksander Yu. Orlov [A. Yu. Orlov], Remarks about the Calogero-Moser system and the KP equation.