Approximation Theory XIII: San Antonio 2010

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Marian Neamtu, Larry L. Schumaker
Springer Science & Business Media, Nov 19, 2011 - Mathematics - 418 pages
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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.

 

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Contents

An Asymptotic Equivalence Between Two Frame Perturbation Theorems
2
Growth Behavior and Zero Distribution of Maximally Convergent Rational Approximants
9
Generalization of Polynomial Interpolation at Chebyshev Nodes
17
Taking Another Look at Kernel Approximation Radial Basis Functions and Splines
37
Sufficient Conditions in Terms of Restricted Isometry Constants
64
Lagrange Interpolation and New Asymptotic Formulae for the Riemann Zeta Function
79
Active Geometric Wavelets
94
Interpolating Composite Systems
111
A Lagrange Interpolation Method by Trivariate Cubic C1 Splines of Low Locality
231
Approximation of Besov Vectors by PaleyWiener Vectors in Hilbert Spaces
249
A Subclass of the Length 12 Parameterized Wavelets
263
Geometric Properties of Inverse Polynomial Images
276
On Symbolic Computation of Ideal Projectors and Inverse Systems
289
The Dimension of the Space of Smooth Splines of Degree 8 on Tetrahedral Partitions
296
On Simultaneous Approximation in Function Spaces
321
ChalmersMetcalf Operator and Uniqueness of Minimal Projections in ln and ln1 Spaces
331

Wavelets and Framelets Within the Framework of Nonhomogeneous Wavelet Systems
121
Compactly Supported Shearlets
162
Shearlets on Bounded Domains
187
On Christoffel Functions and Related Quantities for Compactly Supported Measures
207
Exact Solutions of Some Extremal Problemsof Approximation Theory
221
The Polynomial Inverse Image Method
345
On Approximation of Periodic Analytic Functions by Linear Combinations of Complex Exponents
366
Matrix Extension with Symmetryand Its Applications
375
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About the author (2011)

Marian Neamtu is Professor of Mathematics at Vanderbilt University, Nashville, TN. Larry L. Schumaker is Stevenson Professor of Mathematics at Vanderbilt University, Nashville, TN.

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