Orthogonal Polynomials of Several Variables
Author:   Charles F. Dunkl (University of Virginia) ,  Yuan Xu (University of Oregon)
Publisher:   Cambridge University Press
Edition:   2nd Revised edition
Volume:   155
ISBN:  

9781107071896


Pages:   426
Publication Date:   21 August 2014
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Orthogonal Polynomials of Several Variables


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Author:   Charles F. Dunkl (University of Virginia) ,  Yuan Xu (University of Oregon)
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press
Edition:   2nd Revised edition
Volume:   155
Dimensions:   Width: 15.90cm , Height: 2.80cm , Length: 24.00cm
Weight:   0.810kg
ISBN:  

9781107071896


ISBN 10:   1107071895
Pages:   426
Publication Date:   21 August 2014
Audience:   Professional and scholarly ,  Professional and scholarly ,  Professional & Vocational ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Preface to the second edition; Preface to the first edition; 1. Background; 2. Orthogonal polynomials in two variables; 3. General properties of orthogonal polynomials in several variables; 4. Orthogonal polynomials on the unit sphere; 5. Examples of orthogonal polynomials in several variables; 6. Root systems and Coxeter groups; 7. Spherical harmonics associated with reflection groups; 8. Generalized classical orthogonal polynomials; 9. Summability of orthogonal expansions; 10. Orthogonal polynomials associated with symmetric groups; 11. Orthogonal polynomials associated with octahedral groups and applications; References; Author index; Symbol index; Subject index.

Reviews

Review of the first edition: 'This book is the first modern treatment of orthogonal polynomials of several real variables. It presents not only a general theory, but also detailed results of recent research on generalizations of various classical cases.' Mathematical Reviews Review of the first edition: 'This book is very impressive and shows the richness of the theory.' Vilmos Totik, Acta Scientiarum Mathematicarum 'This is a valuable book for anyone with an interest in special functions of several variables.' Marcel de Jeu, American Mathematical Society


Author Information

Charles F. Dunkl is Professor Emeritus of Mathematics at the University of Virginia. Among his work one finds the seminal papers containing the construction of differential-difference operators associated to finite reflection groups and related integral transforms. Aspects of the theory are now called Dunkl operators, the Dunkl transform, and the Dunkl kernel. Dunkl is a Fellow of the Institute of Physics, and a member of SIAM and of its Activity Group on Orthogonal Polynomials and Special Functions, which he founded in 1990 and then chaired from 1990 to 1998. Yuan Xu is Professor of Mathematics at the University of Oregon. His work covers topics in approximation theory, harmonic analysis, numerical analysis, orthogonal polynomials and special functions, and he works mostly in problems of several variables. Xu is currently on the editorial board of five international journals and has been a plenary or invited speaker in numerous international conferences. He was awarded a Humboldt research fellowship in 1992–93 and received a Faculty Excellence Award at the University of Oregon in 2009. He is a member of SIAM and of its Activity Group on Orthogonal Polynomials and Special Functions.

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