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Published May 2009 | Version Submitted
Journal Article Open

Poisson brackets of orthogonal polynomials

Creators

  • 1. ROR icon University of Zaragoza
  • 2. ROR icon California Institute of Technology

Abstract

For the standard symplectic forms on Jacobi and CMV matrices, we compute Poisson brackets of OPRL and OPUC, and relate these to other basic Poisson brackets and to Jacobians of basic changes of variable.

Additional Information

© 2007 Elsevier Inc. Received 9 March 2007; received in revised form 4 June 2007; accepted 9 July 2007. Available online 14 September 2007. Communicated by C.K. Chui and H.N. Mhaskar. Dedicated to the memory of G.G. Lorentz. It is a pleasure to thank Rafael Hernandez Heredero and Irina Nenciu for useful discussions. M. J. Cantero would like to thank Tom Tombrello and Gary Lorden for the hospitality of Caltech. George Lorentz was a giant of approximation theory. It is a pleasure and an honor to dedicate this paper to his memory.

Attached Files

Submitted - 0603098

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Identifiers

Eprint ID
14686
Resolver ID
CaltechAUTHORS:20090728-075326318

Related works

Describes
https://arxiv.org/abs/math/0603098 (URL)

Dates

Created
2009-08-07
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Updated
2021-11-08
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Caltech groups
Mathematics Department , Physics Department