Multivariate Polynomial Approximation
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Beschreibung
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.
New access to Appell polynomials via an elementary biorthonormal system defined by the reproducing kernel of spherical harmonics Comprehensive introduction to generalized hyperinterpolation Contains introduction to tomography
Autor*in
Manfred Reimer
Themen in »Multivariate Polynomial Approximation«
Tomography approximation theory integral transform interpolation numerical analysis