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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.
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.
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.
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.
These volumes contain carefully edited selections of papers that
were presented at the Symposium on Trends in Approximation Theory,
held in May 2000, and at the Oslo Conference on Mathematical
Methods for Curves and Surfaces, held in July 2000. Both contain
several invited surveys written by leading experts in the field,
along with contributed research papers on the most current
developments in approximation theory and in the theory and
application of curves and surfaces. These books will be of great
interest to mathematicians, engineers, and computer scientists.
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