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020 _a9783319064048
_9978-3-319-06404-8
024 7 _a10.1007/978-3-319-06404-8
_2doi
035 _ato000543243
040 _aSpringer
_cSpringer
_dRU-ToGU
050 4 _aQA401-425
072 7 _aPBKJ
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072 7 _aMAT034000
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082 0 4 _a511.4
_223
245 1 0 _aApproximation Theory XIV: San Antonio 2013
_helectronic resource
_cedited by Gregory E. Fasshauer, Larry L. Schumaker.
260 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2014.
300 _aXIII, 395 p. 70 illus., 25 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aSpringer Proceedings in Mathematics & Statistics,
_x2194-1009 ;
_v83
505 0 _aIsogeometric Method for the Elliptic Monge-Ampère Equation -- Dual Compatible Splines on non Tensor Product Meshes -- Multivariate Anisotropic Interpolation on the Torus -- A Generalized Class of Hard Thresholding Algorithms for Sparse Signal Recovery -- On a New Proximity Condition for Manifold-Valued Subdivision Schemes -- Wachspress and Mean Value Coordinates -- Hermite and Bernstein Style Basis Functions for Cubic Serendipity Spaces on Squares and Cubes -- Suitability of Parametric Shepard Interpolation for Nonrigid Image Registration -- Parabolic Molecules: Curvelets, Shearlets and Beyond -- Microlocal Analysis of Singularities from Directional Multiscale Representations -- Barycentric Interpolation -- Numerical Determination of Extremal Points and Asymptotic Order of Discrete Minimal Riesz Energy for Regular Compact Sets -- Eigenvalue Sequences of Positive Integral Operators and Moduli of Smoothness -- Reconstructing Multivariate Trigonometric Polynomials from Samples Along Rank-1 Lattices -- On Non-degenerate Rational Approximation -- Multivariate C1-continuous Splines on the Alfeld Split of a Simplex -- On Convergence of Singular Integral Operators with Radial Kernels -- Lower Bound on the Dimension of Trivariate Splines on Cells -- One Characterization of Lagrange Projectors -- Minimal versus Orthogonal Projections onto Hyperplanes in ℓn1 and ℓn∞ -- On Hermite Interpolation by Splines with Continuous Third Derivatives -- Best Polynomial Approximation on the Unit Sphere and the Unit Ball -- Support Vector Machines in Reproducing Kernel Hilbert Spaces versus Banach Spaces.
520 _aThis volume developed from papers presented at the international conference Approximation Theory XIV,  held April 7–10, 2013 in San Antonio, Texas. The proceedings contains surveys by invited speakers, covering topics such as splines on non-tensor-product meshes, Wachspress and mean value coordinates, curvelets and shearlets, barycentric interpolation, and polynomial approximation on spheres and balls. Other contributed papers address a variety of current topics in approximation theory, including eigenvalue sequences of positive integral operators, image registration, and support vector machines. This book will be of interest to mathematicians, engineers, and computer scientists working in approximation theory, computer-aided geometric design, numerical analysis, and related approximation areas.
650 0 _amathematics.
_9566183
650 1 4 _aMathematics.
_9566184
650 2 4 _aApproximations and Expansions.
_9306879
700 1 _aFasshauer, Gregory E.
_eeditor.
_9449833
700 1 _aSchumaker, Larry L.
_eeditor.
_9449834
710 2 _aSpringerLink (Online service)
_9143950
773 0 _tSpringer eBooks
830 0 _aSpringer Proceedings in Mathematics & Statistics,
_9445420
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-06404-8
912 _aZDB-2-SMA
999 _c400973