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Approximation Theory XIII: San Antonio 2010
Author: Marian Neamtu
Publisher: Springer Science & Business Media
Published: 2011-11-19
Total Pages: 420
ISBN-13: 1461407729
DOWNLOAD EBOOK →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.
Approximation Theory XIV: San Antonio 2013
Author: Gregory E. Fasshauer
Publisher: Springer
Published: 2014-06-02
Total Pages: 397
ISBN-13: 3319064045
DOWNLOAD EBOOK →These proceedings were prepared in connection with the 14th International Conference on Approximation Theory, which was held April 7-10, 2013 in San Antonio, Texas. The conference was the fourteenth in a series of meetings in Approximation Theory held at various locations in the United States. The included invited and contributed papers cover diverse areas of approximation theory with a special emphasis on the most current and active areas such as compressed sensing, isogeometric analysis, anisotropic spaces, radial basis functions and splines. Classical and abstract approximation is also included. 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.
Shearlets
Author: Gitta Kutyniok
Publisher: Springer Science & Business Media
Published: 2012-03-07
Total Pages: 346
ISBN-13: 081768316X
DOWNLOAD EBOOK →Over the last 20 years, multiscale methods and wavelets have revolutionized the field of applied mathematics by providing an efficient means of encoding isotropic phenomena. Directional multiscale systems, particularly shearlets, are now having the same dramatic impact on the encoding of multidimensional signals. Since its introduction about five years ago, the theory of shearlets has rapidly developed and gained wide recognition as the superior way of achieving a truly unified treatment in both a continuous and a digital setting. By now, it has reached maturity as a research field, with rich mathematics, efficient numerical methods, and various important applications.
Hyperbolic Cross Approximation
Author: Dinh Dũng
Publisher: Springer
Published: 2018-11-02
Total Pages: 218
ISBN-13: 3319922408
DOWNLOAD EBOOK →This book provides a systematic survey of classical and recent results on hyperbolic cross approximation. Motivated by numerous applications, the last two decades have seen great success in studying multivariate approximation. Multivariate problems have proven to be considerably more difficult than their univariate counterparts, and recent findings have established that multivariate mixed smoothness classes play a fundamental role in high-dimensional approximation. The book presents essential findings on and discussions of linear and nonlinear approximations of the mixed smoothness classes. Many of the important open problems explored here will provide both students and professionals with inspirations for further research.
Topics in Classical and Modern Analysis
Author: Martha Abell
Publisher: Springer Nature
Published: 2019-10-21
Total Pages: 373
ISBN-13: 3030122778
DOWNLOAD EBOOK →Different aspects of harmonic analysis, complex analysis, sampling theory, approximation theory and related topics are covered in this volume. The topics included are Fourier analysis, Padè approximation, dynamical systems and difference operators, splines, Christoffel functions, best approximation, discrepancy theory and Jackson-type theorems of approximation. The articles of this collection were originated from the International Conference in Approximation Theory, held in Savannah, GA in 2017, and organized by the editors of this volume.
Compressed Sensing
Author: Yonina C. Eldar
Publisher: Cambridge University Press
Published: 2012-05-17
Total Pages: 557
ISBN-13: 1107005582
DOWNLOAD EBOOK →A detailed presentation of compressed sensing by leading researchers, covering the most significant theoretical and application-oriented advances.
Multivariate Approximation
Author: V. Temlyakov
Publisher: Cambridge University Press
Published: 2018-07-19
Total Pages: 551
ISBN-13: 1108428754
DOWNLOAD EBOOK →Self-contained presentation of multivariate approximation from classical linear approximation to contemporary nonlinear approximation.
New Perspectives on Approximation and Sampling Theory
Author: Ahmed I. Zayed
Publisher: Springer
Published: 2014-11-03
Total Pages: 487
ISBN-13: 3319088017
DOWNLOAD EBOOK →Paul Butzer, who is considered the academic father and grandfather of many prominent mathematicians, has established one of the best schools in approximation and sampling theory in the world. He is one of the leading figures in approximation, sampling theory, and harmonic analysis. Although on April 15, 2013, Paul Butzer turned 85 years old, remarkably, he is still an active research mathematician. In celebration of Paul Butzer’s 85th birthday, New Perspectives on Approximation and Sampling Theory is a collection of invited chapters on approximation, sampling, and harmonic analysis written by students, friends, colleagues, and prominent active mathematicians. Topics covered include approximation methods using wavelets, multi-scale analysis, frames, and special functions. New Perspectives on Approximation and Sampling Theory requires basic knowledge of mathematical analysis, but efforts were made to keep the exposition clear and the chapters self-contained. This volume will appeal to researchers and graduate students in mathematics, applied mathematics and engineering, in particular, engineers working in signal and image processing.
Algorithms for Sparsity-Constrained Optimization
Author: Sohail Bahmani
Publisher: Springer Science & Business Media
Published: 2013-10-07
Total Pages: 124
ISBN-13: 3319018817
DOWNLOAD EBOOK →This thesis demonstrates techniques that provide faster and more accurate solutions to a variety of problems in machine learning and signal processing. The author proposes a "greedy" algorithm, deriving sparse solutions with guarantees of optimality. The use of this algorithm removes many of the inaccuracies that occurred with the use of previous models.
