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Orthogonal Polynomials of Several Variables

Yuan Xu author Charles F Dunkl author

Format:Hardback

Publisher:Cambridge University Press

Published:21st Aug '14

Currently unavailable, and unfortunately no date known when it will be back

Orthogonal Polynomials of Several Variables cover

Updated throughout, this revised edition contains 25% new material covering progress made in the field over the past decade.

Serving both as an introduction to the subject and as a reference, this book covers the general theory and emphasizes the classical types of orthogonal polynomials, or those of Gaussian type. Containing 25% brand new material, this revised edition reflects progress made in the field over the past decade.Serving both as an introduction to the subject and as a reference, this book presents the theory in elegant form and with modern concepts and notation. It covers the general theory and emphasizes the classical types of orthogonal polynomials whose weight functions are supported on standard domains. The approach is a blend of classical analysis and symmetry group theoretic methods. Finite reflection groups are used to motivate and classify symmetries of weight functions and the associated polynomials. This revised edition has been updated throughout to reflect recent developments in the field. It contains 25% new material, including two brand new chapters on orthogonal polynomials in two variables, which will be especially useful for applications, and orthogonal polynomials on the unit sphere. The most modern and complete treatment of the subject available, it will be useful to a wide audience of mathematicians and applied scientists, including physicists, chemists and engineers.

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

ISBN: 9781107071896

Dimensions: 240mm x 159mm x 28mm

Weight: 810g

426 pages

2nd Revised edition