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Recent Progress in Multivariate Approximation : 4th International Conference, Witten-Bommerholz (Germany), September 2000 / edited by Werner Haussmann, Kurt Jetter, Manfred Reimer
(ISNM International Series of Numerical Mathematics ; 137)

データ種別 電子ブック
出版者 Basel : Birkhäuser Basel : Imprint: Birkhäuser
出版年 2001
本文言語 英語
大きさ 265 p : online resource

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EB0087889

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内容注記 Jochen W. Schmidt in Memoriam
Best Approximation of Polynomials on the Sphere and on the Ball
The Sign of a Harmonic Function Near a Zero
Radial Basis Functions for the Sphere
Cubature Formulae for Polyharmonic Functions
On the Structure of Kergin Interpolation for Points in General Position
Frames Containing a Riesz Basis and Approximation of the Inverse Frame Operator
Kronecker Type Convolution of Function Vectors with one Refinable Factor
Best One—Sided L1—Approximation by B2,1—Blending Functions
Open Problem: Existence of Hermite Interpolatory Subdivision Schemes with Arbitrary Large Smoothnesses
Asymptotic Formulas in Cardinal Interpolation and Orthogonal Projection
Note on d—Extremal Configurations for the Sphere in ?d+1
Some Cubature Formulae Using Mixed Type Data
On an Extremal Problem Originating in Questions of Unconditional Convergence
Node Insertion and Node Deletion for Radial Basis Functions
Tangent Space Methods for Approximation on Compact Homogeneous Manifolds
Open Problem Concerning Fourier Transforms of Radial Functions in Euclidean Space and on Spheres
Local Lagrange Interpolation on Powell—Sabin Triangulations and Terrain Modelling
The Geometry of Nodes in a Positive Quadrature on the Sphere
Normalized Tight Frames in Finite Dimensions
Publications of Jochen W. Schmidt
一般注記 These proceedings contain the main topics and results presented at the Fourth International Conference on Multivariate Approximation. The meeting took place during the week of September 24-29, 2000 at the now well-known "Haus Bommerholz", the guest-house of the University of Dortmund. It hosted 43 participants from 16 countries, and the program included 9 invited one-hour lectures, 21 contributed talks, and two problem sessions. The articles collected here are carefully peer-refereed and suitably edited for publication. Following the tradition of this series of conferences, the meeting was aimed at advancing selected topics of Multivariate Approximation Theory. These include approximation on compact sets (such as spheres, balls, or compact ho­ mogeneous manifolds), spherical designs and energy functionals, interpolation by radial basis functions and by splines, frame theory and Gabor analysis, re­ finable function systems and subdivision, properties of harmonic, polyharmonic and blending functions, sampling and data compression, among others. The editors would like to express their thanks to all who have given their sup­ port to the conference, and to the preparation of this book. In particular, our thanks go to the Deutsche Forschungsgemeinschaft for their funding of the con­ ference, to the University of Dortmund, and to the staff of Haus Bommerholz for their help running the conference, and to the Universities of Dortmund and Duisburg for the financial support of this proceedings volume
著者標目 Haussmann, Werner editor
Jetter, Kurt editor
Reimer, Manfred editor
SpringerLink (Online service)
件 名 LCSH:Mathematics
LCSH:Computer science
LCSH:Applied mathematics
LCSH:Engineering mathematics
LCSH:Geophysics
FREE:Mathematics
FREE:Applications of Mathematics
FREE:Computer Science, general
FREE:Geophysics and Environmental Physics
分 類 DC23:519
巻冊次 ISBN:9783034882729 REFWLINK
ISBN 9783034882729
URL http://dx.doi.org/10.1007/978-3-0348-8272-9
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