Topics in Polynomials of One and Several Variables and Their Applications

Topics in Polynomials of One and Several Variables and Their Applications

Author: Themistocles M. Rassias

Publisher: World Scientific

Published: 1993

Total Pages: 658

ISBN-13: 9789810206147

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This volume presents an account of some of the most important work that has been done on various research problems in the theory of polynomials of one and several variables and their applications. It is dedicated to P L Chebyshev, a leading Russian mathematician.


Handbook of Finite Fields

Handbook of Finite Fields

Author: Gary L. Mullen

Publisher: CRC Press

Published: 2013-06-17

Total Pages: 1048

ISBN-13: 1439873828

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Poised to become the leading reference in the field, the Handbook of Finite Fields is exclusively devoted to the theory and applications of finite fields. More than 80 international contributors compile state-of-the-art research in this definitive handbook. Edited by two renowned researchers, the book uses a uniform style and format throughout and


Orthogonal Polynomials of Several Variables

Orthogonal Polynomials of Several Variables

Author: Charles F. Dunkl

Publisher: Cambridge University Press

Published: 2014-08-21

Total Pages: 439

ISBN-13: 1107071895

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Updated throughout, this revised edition contains 25% new material covering progress made in the field over the past decade.


Special Functions, $q$-Series and Related Topics

Special Functions, $q$-Series and Related Topics

Author: Mourad Ismail

Publisher: American Mathematical Soc.

Published: 1997

Total Pages: 289

ISBN-13: 082180524X

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This book contains contributions from the proceedings at The Fields Institute workshop on Special Functions, q-Series and Related Topics that was held in June 1995. The articles cover areas from quantum groups and their representations, multivariate special functions, q-series, and symbolic algebra techniques as well as the traditional areas of single-variable special functions. The book contains both pure and applied topics and reflects recent trends of research in the various areas of special functions.


Topics in Multivariate Approximation and Interpolation

Topics in Multivariate Approximation and Interpolation

Author: Kurt Jetter

Publisher: Elsevier

Published: 2005-11-15

Total Pages: 357

ISBN-13: 0080462049

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This book is a collection of eleven articles, written by leading experts and dealing with special topics in Multivariate Approximation and Interpolation. The material discussed here has far-reaching applications in many areas of Applied Mathematics, such as in Computer Aided Geometric Design, in Mathematical Modelling, in Signal and Image Processing and in Machine Learning, to mention a few. The book aims at giving a comprehensive information leading the reader from the fundamental notions and results of each field to the forefront of research. It is an ideal and up-to-date introduction for graduate students specializing in these topics, and for researchers in universities and in industry. - A collection of articles of highest scientific standard - An excellent introduction and overview of recent topics from multivariate approximation - A valuable source of references for specialists in the field - A representation of the state-of-the-art in selected areas of multivariate approximation - A rigorous mathematical introduction to special topics of interdisciplinary research


Orthogonal Polynomials in Two Variables

Orthogonal Polynomials in Two Variables

Author: P.K. Suetin

Publisher: Routledge

Published: 2022-03-31

Total Pages: 369

ISBN-13: 1351426389

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Presenting a comprehensive theory of orthogonal polynomials in two real variables and properties of Fourier series in these polynomials, this volume also gives cases of orthogonality over a region and on a contour. The text includes the classification of differential equations which admits orthogonal polynomials as eigenfunctions and several two-dimensional analogies of classical orthogonal polynomials.


Functions, Data and Models

Functions, Data and Models

Author: Sheldon P. Gordon

Publisher: MAA

Published: 2010

Total Pages: 511

ISBN-13: 0883857677

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Focuses primarily on mathematical concepts and mathematical thinking, thereby achieving a balance among geometric, numerical, symbolic, and statistical approaches, rather than focusing on algebraic manipulation. Gordon incorporates a significant amount of statistical reasoning and methods as natural applications of more standard college algebra topics. --From publisher description.


Approximation Theory and Harmonic Analysis on Spheres and Balls

Approximation Theory and Harmonic Analysis on Spheres and Balls

Author: Feng Dai

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 447

ISBN-13: 1461466601

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This monograph records progress in approximation theory and harmonic analysis on balls and spheres, and presents contemporary material that will be useful to analysts in this area. While the first part of the book contains mainstream material on the subject, the second and the third parts deal with more specialized topics, such as analysis in weight spaces with reflection invariant weight functions, and analysis on balls and simplexes. The last part of the book features several applications, including cubature formulas, distribution of points on the sphere, and the reconstruction algorithm in computerized tomography. This book is directed at researchers and advanced graduate students in analysis. Mathematicians who are familiar with Fourier analysis and harmonic analysis will understand many of the concepts that appear in this manuscript: spherical harmonics, the Hardy-Littlewood maximal function, the Marcinkiewicz multiplier theorem, the Riesz transform, and doubling weights are all familiar tools to researchers in this area.