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Catalogue Information
Field name	Details
Dewey Class	511.4
Title	Multivariate Polynomial Approximation ([EBook]) / by Manfred Reimer.
Author	Reimer, Manfred , 1933-
Other name(s)	SpringerLink (Online service)
Publication	Basel : Birkhäuser , 2003.
Physical Details	X, 358 pages : online resource.
Series	ISNM International Series of Numerical Mathematics ; 144
ISBN	9783034880954
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-0348-8095-4
Links to Related Works	Subject References: Approximation theory . Approximations and Expansions . Functions of several real variables . Numerical Analysis . Polynomials . Authors: Reimer, Manfred 1933- . Corporate Authors: SpringerLink (Online service) . Series: ISNM International Series of Numerical Mathematics . Classification: 511.4 .

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Multivariate Polynomial Approximation

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