Harmonic Analysis and Rational Approximation
Title | Harmonic Analysis and Rational Approximation PDF eBook |
Author | Jean-Daniel Fournier |
Publisher | Springer |
Pages | 311 |
Release | 2009-09-02 |
Genre | Technology & Engineering |
ISBN | 9783540818892 |
This book - an outgrowth of a topical summer school - sets out to introduce non-specialists from physics and engineering to the basic mathematical concepts of approximation and Fourier theory. After a general introduction, Part II of this volume contains basic material on the complex and harmonic analysis underlying the further developments presented. Part III deals with the essentials of approximation theory while Part IV completes the foundations by a tour of probability theory. Part V reviews some major applications in signal and control theory. In Part VI mathematical aspects of dynamical systems theory are discussed. Part VII, finally, is devoted to a modern approach to two physics problems: turbulence and the control and noise analysis in gravitational waves measurements.
Harmonic Analysis and Rational Approximation
Title | Harmonic Analysis and Rational Approximation PDF eBook |
Author | Jean-Daniel Fournier |
Publisher | |
Pages | 344 |
Release | 2006-02-21 |
Genre | Language Arts & Disciplines |
ISBN |
This book - an outgrowth of a topical summer school - sets out to introduce non-specialists from physics and engineering to the basic mathematical concepts of approximation and Fourier theory. After a general introduction, Part II of this volume contains basic material on the complex and harmonic analysis underlying the further developments presented. Part III deals with the essentials of approximation theory while Part IV completes the foundations by a tour of probability theory. Part V reviews some major applications in signal and control theory. In Part VI mathematical aspects of dynamical systems theory are discussed. Part VII, finally, is devoted to a modern approach to two physics problems: turbulence and the control and noise analysis in gravitational waves measurements.
Algebraic Numbers and Harmonic Analysis
Title | Algebraic Numbers and Harmonic Analysis PDF eBook |
Author | Yves Meyer |
Publisher | Elsevier |
Pages | 285 |
Release | 1972 |
Genre | Mathematics |
ISBN | 0444103570 |
Diophantine approximations to real numbers. Some classical results in diophantine approximations. Measure-teoretical methods in diophantine approximations. Diophantine approximations and additive problems in locally compact abelian groups. Uniqueness of representation by trigonometric series. Problems on a-periodic trigonometric sums. Special trigonometric series (complex methods). Special trigonometric series (group-theoretic methods). Pisot numbers and spectral synthesis. Ultra-thin symmetric sets.
Harmonic Analysis and Approximation on the Unit Sphere
Title | Harmonic Analysis and Approximation on the Unit Sphere PDF eBook |
Author | Kunyang Wang |
Publisher | |
Pages | 320 |
Release | 2000 |
Genre | Approximation theory |
ISBN |
Second Edmonton Conference on Approximation Theory
Title | Second Edmonton Conference on Approximation Theory PDF eBook |
Author | Zeev Ditzian |
Publisher | American Mathematical Soc. |
Pages | 416 |
Release | 1983 |
Genre | Mathematics |
ISBN | 9780821860045 |
The Second Edmonton Conference on Approximation Theory, held in Edmonton, Alberta, June 7-11, 1982, was devoted to Approximation Theory and related topics, including spline approximation, computational problems, complex and rational approximation, and techniques from harmonic analysis and the theory of interpolation of operators. In conformity with the requirements of this series, this volume consists of refereed papers by a selection of the invited speakers. The conference was sponsored by the Canadian Mathematical Society and supported by grants from the Natural Sciences and Engineering Research Council of Canada and the University of Alberta.
Fourier Analysis and Approximation Theory
Title | Fourier Analysis and Approximation Theory PDF eBook |
Author | György Alexits |
Publisher | |
Pages | 476 |
Release | 1978 |
Genre | Approximation theory |
ISBN |
Harmonic Analysis and Applications
Title | Harmonic Analysis and Applications PDF eBook |
Author | Carlos E. Kenig |
Publisher | American Mathematical Soc. |
Pages | 345 |
Release | 2020-12-14 |
Genre | Education |
ISBN | 1470461277 |
The origins of the harmonic analysis go back to an ingenious idea of Fourier that any reasonable function can be represented as an infinite linear combination of sines and cosines. Today's harmonic analysis incorporates the elements of geometric measure theory, number theory, probability, and has countless applications from data analysis to image recognition and from the study of sound and vibrations to the cutting edge of contemporary physics. The present volume is based on lectures presented at the summer school on Harmonic Analysis. These notes give fresh, concise, and high-level introductions to recent developments in the field, often with new arguments not found elsewhere. The volume will be of use both to graduate students seeking to enter the field and to senior researchers wishing to keep up with current developments.