
Multivariate Polynomial Approximation
Manfred Reimer(Author)
Birkhäuser (Publisher)
Published on 2. November 2012
Book
Paperback/Softback
X, 358 pages
978-3-0348-9436-4 (ISBN)
Description
Multivariate polynomials are a main tool in approximation. The book begins with an introduction to the general theory by presenting the most important facts on multivariate interpolation, quadrature, orthogonal projections and their summation, all treated under a constructive view, and embedded in the theory of positive linear operators. On this background, the book gives the first comprehensive introduction to the recently developped theory of generalized hyperinterpolation. As an application, the book gives a quick introduction to tomography. Several parts of the book are based on rotation principles, which are presented in the beginning of the book, together with all other basic facts needed.
More details
Series
Edition
Softcover reprint of the original 1st ed. 2003
Language
English
Place of publication
Basel
Switzerland
Publishing group
Springer Basel
Target group
Professional and scholarly
Research
Illustrations
X, 358 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 21 mm
Weight
563 gr
ISBN-13
978-3-0348-9436-4 (9783034894364)
DOI
10.1007/978-3-0348-8095-4
Schweitzer Classification
Other editions
Additional editions

Manfred Reimer
Multivariate Polynomial Approximation
Book
08/2003
1st Edition
Springer
€85.55
Article exhausted; check different version
Content
1 Basic Principles and Facts.- 2 Gegenbauer Polynomials.- 3 Multivariate Polynomials.- 4 Polynomials on Sphere and Ball.- 5 Approximation Methods.- 6 Approximation on the Sphere.- 7 Approximation on the Ball.- 8 Tomography.- A Legendre Basis.- B Zeros of the Kernel Function.- C Newman-Shapiro Operators.- D Reconstruction.- E Solutions.