Ebook: Approximation Theory XIII: San Antonio 2010

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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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.

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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.

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.

Content:
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
Approximation of Besov Vectors by Paley–Wiener Vectors in Hilbert Spaces....Pages 111-120
A Subclass of the Length 12 Parameterized Wavelets....Pages 121-161
Geometric Properties of Inverse Polynomial Images....Pages 163-186
On Symbolic Computation of Ideal Projectors and Inverse Systems....Pages 187-206
On Simultaneous Approximation in Function Spaces....Pages 207-220
The Polynomial Inverse Image Method....Pages 221-229
On Approximation of Periodic Analytic Functions by Linear Combinations of Complex Exponents....Pages 231-248
Matrix Extension with Symmetry and Its Applications....Pages 249-262
....Pages 263-275