This book describes the theory and applications of discrete
orthogonal polynomials--polynomials that are orthogonal on a finite
set. Unlike other books, "Discrete Orthogonal Polynomials"
addresses completely general weight functions and presents a new
methodology for handling the discrete weights case.
J. Baik, T. Kriecherbauer, K. T.-R. McLaughlin & P. D.
Miller focus on asymptotic aspects of general, nonclassical
discrete orthogonal polynomials and set out applications of current
interest. Topics covered include the probability theory of discrete
orthogonal polynomial ensembles and the continuum limit of the Toda
lattice. The primary concern throughout is the asymptotic behavior
of discrete orthogonal polynomials for general, nonclassical
measures, in the joint limit where the degree increases as some
fraction of the total number of points of collocation. The book
formulates the orthogonality conditions defining these polynomials
as a kind of Riemann-Hilbert problem and then generalizes the
steepest descent method for such a problem to carry out the
necessary asymptotic analysis.
General
Imprint: |
Princeton University Press
|
Country of origin: |
United States |
Series: |
Annals of Mathematics Studies |
Release date: |
2007 |
First published: |
2006 |
Authors: |
J. Baik
• T. Kriecherbauer
• Kenneth D.T-R. McLaughlin
• Peter D. Miller
|
Dimensions: |
254 x 203 x 9mm (L x W x T) |
Format: |
Paperback
|
Pages: |
184 |
ISBN-13: |
978-0-691-12734-7 |
Categories: |
Books
|
LSN: |
0-691-12734-4 |
Barcode: |
9780691127347 |
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