These proceedings were prepared in connection with the international conference Approximation Theory XIII, which was held March 7–10, 2010 in San Antonio, Texas. The conference was the thirteenth in a series of meetings in Approximation Theory held at various locations in the United States, and was attended by 144 participants. Previous conferences in the series were held in Austin, Texas (1973, 1976, 1980, 1992), College Station, Texas (1983, 1986, 1989, 1995), Nashville, Tennessee (1998), St. Louis, Missouri (2001), Gatlinburg, Tennessee (2004), and San Antonio, Texas (2007). Along with the many plenary speakers, the contributors to this proceedings provided inspiring talks and set a high standard of exposition in their descriptions of new directions for research.  Many relevant topics in approximation theory are included in this book, such as abstract approximation, approximation with constraints, interpolation and smoothing, wavelets and frames, shearlets, orthogonal polynomials, univariate and multivariate splines, and complex approximation.

lgrsnf/M_Mathematics/MN_Numerical methods/Neamtu M., Schumaker L. (eds.) Approximation theory XIII (Springer, 2012)(ISBN 9781461407713)(O)(434s)_MN_.pdf

nexusstc/Approximation Theory XIII: San Antonio 2010/0e88dda2e95f745178b51f66b4722a70.pdf

scihub/10.1007/978-1-4614-0772-0.pdf

Approximation Theory XIII: San Antonio 2010 (Springer Proceedings in Mathematics Book 13)

Approximation Theory XIII: San Antonio 2010 : San Antonio 2010

International Conference On Approximation Theory (13th : 2010 : San Antonio, Texas)

edited by Marian Neamtu, Larry Schumaker

Larry L Schumaker; Marian Neamtu

Marian Neamtu; Larry L Schumaker

Hujun Bao; Wei Hua

Springer Science+Business Media, LLC

Springer Proceedings in Mathematics -- 13, New York, NY, New York State, 2012

Springer proceedings in mathematics, v. 13, New York, NY, ©2012

Springer Proceedings in Mathematics Ser, New York, Nov. 2011

Springer Proceedings in Mathematics, 13, Dordrecht :, 2012

United States, United States of America

1st, 2011

Kolxo3 -- 41-56

sm21599035

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MiU

These Proceedings Were Prepared In Connection With The International Conference Approximation Theory Xiii, Which Was Held March 7–10, 2010 In San Antonio, Texas. The Conference Was The Thirteenth In A Series Of Meetings In Approximation Theory Held At Various Locations In The United States, And Was Attended By 144 Participants. The Book Will Be Of Interest To Mathematicians, Engineers, And Computer Scientists Working In Approximation Theory, Computer-aided Geometric Design, Numerical Analysis, And Related Application Areas. It Contains A Carefully Refereed And Edited Selection Of Papers. Along With The Many Plenary Speakers, The Contributors To This Proceedings Provided Inspiring Talks And Set A High Standard Of Exposition In Their Descriptions Of New Directions For Research. Many Relevant Topics In Approximation Theory Are Included In This Book, Such As Abstract Approximation, Approximation With Constraints, Interpolation And Smoothing, Wavelets And Frames, Shearlets, Orthogonal Polynomials, Univariate And Multivariate Splines, And Complex Approximation. Marian Neamtu Is Professor Of Mathematics At Vanderbilt University, Nashville, Tn. Larry L. Schumaker Is Stevenson Professor Of Mathematics At Vanderbilt University, Nashville, Tn. An Asymptotic Equivalence Between Two Frame Perturbation Theorems - B. A. Bailey -- Growth Behavior And Zero Distribution Of Maximally Convergent Rational Approximants - H.-p. Blatt, R. Grothmann, And R. K. Kovacheva -- Generalization Of Polynomial Interpolation At Chebyshev Nodes - Debao Chen -- Green’s Functions: Taking Another Look At Kernel Approximation, Radial Basis Functions, And Splines - Gregory E. Fasshauer -- Sparse Recovery Algorithms: Sufficient Conditions In Terms Of Restricted Isometry Constants - Simon Foucart -- Lagrange Interpolation And New Asymptotic Formulae For The Riemann Zeta Function - Michael I. Ganzburg -- Active Geometricwavelets - Itai Gershtansky, Shai Dekel, And Nira Dyn -- Interpolating Composite Systems - Philipp Grohs -- Wavelets And Framelets Within The Framework Of Nonhomogeneous Wavelet Systems - Bin Han -- Compactly Supported Shearlets - Gitta Kutyniok, Jakob Lemvig, And Wang-q Lim --^ Shearlets On Bounded Domains - Gitta Kutyniok And Wang-q Lim -- On Christoffel Functions And Related Quantities For Compactly Supported Measures - D. S. Lubinsky -- Exact Solutions Of Some Extremal Problems Of Approximation Theory - A. L. Lukashov -- A Lagrange Interpolation Method By Trivariate Cubic C1 Splines Of Low Locality - G. N ̈urnberger And G. Schneider -- Approximation Of Besov Vectors By Paley-wiener Vectors In Hilbert Spaces - Isaac Z. Pesenson And Meyer Z. Pesenson -- A Subclass Of The Length Twelve Parameterizedwavelets - David W. Roach -- Geometric Properties Of Inverse Polynomial Images - Klaus Schiefermayr -- On Symbolic Computation Of Ideal Projectors And Inverse Systems - Boris Shekhtman -- The Dimension Of The Space Of Smooth Splines Of Degree 8 On Tetrahedral Partitions - Xiquan Shi, Ben Kamau, Fengshan Liu, And Baocai Yin -- On Simultaneous Approximation In Function Spaces - Eyad Abu-sirhan --^ Chalmers-metcalf Operator And Uniqueness Of Minimal Projections In ln ¥ And ln1spaces - Lesław Skrzypek -- The Polynomial Inverse Image Method - Vilmos Totik -- On Approximation Of Periodic Analytic Functions By Linear Combinations Of Complex Exponents - Vesselin Vatchev -- Matrix Extension With Symmetry And Its Applications - Xiaosheng Zhuang.-. Marian Neamtu, Larry Schumaker, Editors. International Conference Proceedings. Includes Bibliographical References.

Front Matter....Pages i-xviii
An Asymptotic Equivalence Between Two Frame Perturbation Theorems....Pages 1-7
Generalization of Polynomial Interpolation at Chebyshev Nodes....Pages 9-16
Active Geometric Wavelets....Pages 17-35
Interpolating Composite Systems....Pages 37-63
Compactly Supported Shearlets....Pages 65-77
Shearlets on Bounded Domains....Pages 79-93
Exact Solutions of Some Extremal Problems of Approximation Theory....Pages 95-109
A Lagrange Interpolation Method by Trivariate Cubic C 1 Splines of Low Locality....Pages 111-120
Approximation of Besov Vectors by Paley–Wiener Vectors in Hilbert Spaces....Pages 121-161
A Subclass of the Length 12 Parameterized Wavelets....Pages 163-186
Geometric Properties of Inverse Polynomial Images....Pages 187-206
On Symbolic Computation of Ideal Projectors and Inverse Systems....Pages 207-220
On Simultaneous Approximation in Function Spaces....Pages 221-229
Chalmers–Metcalf Operator and Uniqueness of Minimal Projections in l n ∞ and l n 1 Spaces....Pages 231-248
The Polynomial Inverse Image Method....Pages 249-262
On Approximation of Periodic Analytic Functions by Linear Combinations of Complex Exponents....Pages 263-275
Matrix Extension with Symmetry and Its Applications....Pages 277-287
....Pages 289-295

Annotation These proceedings were prepared in connection with the international conference Approximation Theory XIII, which was held March 7-10, 2010 in San Antonio, Texas. The conference was the 13th in a series of meetings in approximation theory held at various locations in the United States

Springer Proceedings in Mathematics
Erscheinungsdatum: 18.11.2011

2012-08-21