Overview

These proceedings are based on the international conference Approximation Theory XVI held on May 19–22, 2019 in Nashville, Tennessee. The conference was the sixteenth in a series of meetings in Approximation Theory held at various locations in the United States.  Over 130 mathematicians from 20 countries attended.  The book contains two longer survey papers on nonstationary subdivision and Prony’s method, along with 11 research papers on a variety of topics in approximation theory, including Balian-Low theorems, butterfly spline interpolation, cubature rules, Hankel and Toeplitz matrices, phase retrieval, positive definite kernels, quasi-interpolation operators, stochastic collocation, the gradient conjecture, time-variant systems, and trivariate finite elements. The book should be of interest to mathematicians, engineers, and computer scientists working in approximation theory, computer-aided geometric design, numerical analysis, and related approximation areas.

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9783030574635

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Author Information

Gregory E. Fasshauer is Professor and Head of the Applied Mathematics and Statistics Department at the Colorado School of Mines. He is the author of two books on kernel-based approximation methods, and co-editor of three proceedings volumes. His research is concerned with the theory and applications of kernel-based approximation methods in approximation theory, numerical analysis, data fitting and machine learning. Marian Neamtu is Professor and Chair of the Department of Mathematics at Vanderbilt University. His current research interests are in approximation theory, splines, geometric design, and numerical analysis. Larry L. Schumaker is Stevenson Professor of Mathematics at Vanderbilt University.  He is a fellow of the AMS, a SIAM fellow, and a member of the Norwegian Academy of Sciences.  He is the author of three books on splines, and is a co-editor of over 40 proceedings volumes.  He continues to do research on splines and their applications.

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