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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.
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Multivariate polynomial approximation
2003, Springer Basel AG
electronic resource /
in English
3034880952 9783034880954
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Edition Notes
Originally published by Birkhäuser Verlag, Basel, Switzerland in 2003.
Includes bibliographical references (p. [345]-350) and index.
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September 28, 2024 | Edited by MARC Bot | import existing book |
March 1, 2022 | Edited by ImportBot | import existing book |
February 26, 2022 | Edited by ImportBot | import existing book |
July 5, 2019 | Created by MARC Bot | Imported from Internet Archive item record |