Mathematics - Sets, General Topology, & Categories, Computer Mathematics, Mathematical Analysis - Functional Analysis

Orthogonal Polynomials of Several Variables

Name: Orthogonal Polynomials of Several Variables
Author: Charles Dunkl
ISBN: 9780521800433

by Charles Dunkl, Yuan Xu

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Overview

This is the first modern book on orthogonal polynomials of several variables, which are valuable tools used in multivariate analysis, including approximations and numerical integration. The book presents the theory in elegant form and with modern concepts and notation. It introduces the general theory and emphasizes the classical types of orthogonal polynomials whose weight functions are supported on standard domains such as the cube, the simplex, the sphere and the ball. It also focuses on those of Gaussian type, for which fairly explicit formulae exist. The authors' approach blends classical analysis and symmetry-group-theoretic methods. The book will be welcomed by research mathematicians and applied scientists, including applied mathematicians, physicists, chemists and engineers.

Synopsis

Orthogonal polynomials of several variables, approximation theory, symmetry-group methods.

About the Author, Charles Dunkl

Charles F. Dunkl is Professor of Mathematics at the University of Virginia, Charlottesville.

Yuan Xu is Professor of Mathematics at the University of Oregon, Eugene.

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Editorials

From the Publisher

"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