The Journal Of Fourier Analysis And Applications
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Author |
: John J. Benedetto |
Publisher |
: CRC Press |
Total Pages |
: 668 |
Release |
: 2020-03-10 |
ISBN-10 |
: 9781000674156 |
ISBN-13 |
: 1000674150 |
Rating |
: 4/5 (56 Downloads) |
Synopsis Journal of Fourier Analysis and Applications Special Issue by : John J. Benedetto
The Journal of Fourier Analysis and Applications is a journal of the mathematical sciences devoted to Fourier analysis and its applications. The subject of Fourier analysis has had a major impact on the development of mathematics, on the understanding of many engineering and scientific phenomena, and on the solution of some of the most important problems in mathematics and the sciences. At the end of June 1993, a large Conference in Harmonic Analysis was held at the University of Paris-Sud at Orsay to celebrate the prominent role played by Jean-Pierre Kahane and his numerous achievements in this field. The large variety of topics discussed in this meeting, ranging from classical Harmonic Analysis to Probability Theory, reflects the intense mathematical curiosity and the broad mathematical interest of Jean-Pierre Kahane. Indeed, all of them are connected to his work. The mornings were devoted to plenary addresses while up to four parallel sessions took place in the afternoons. Altogether, there were about eighty speakers. This wide range of subjects appears in these proceedings which include thirty six articles.
Author |
: Anders Vretblad |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 275 |
Release |
: 2006-04-18 |
ISBN-10 |
: 9780387217239 |
ISBN-13 |
: 0387217231 |
Rating |
: 4/5 (39 Downloads) |
Synopsis Fourier Analysis and Its Applications by : Anders Vretblad
A carefully prepared account of the basic ideas in Fourier analysis and its applications to the study of partial differential equations. The author succeeds to make his exposition accessible to readers with a limited background, for example, those not acquainted with the Lebesgue integral. Readers should be familiar with calculus, linear algebra, and complex numbers. At the same time, the author has managed to include discussions of more advanced topics such as the Gibbs phenomenon, distributions, Sturm-Liouville theory, Cesaro summability and multi-dimensional Fourier analysis, topics which one usually does not find in books at this level. A variety of worked examples and exercises will help the readers to apply their newly acquired knowledge.
Author |
: |
Publisher |
: |
Total Pages |
: 0 |
Release |
: 1994 |
ISBN-10 |
: OCLC:641919057 |
ISBN-13 |
: |
Rating |
: 4/5 (57 Downloads) |
Synopsis The Journal of Fourier Analysis and Applications by :
Author |
: John J. Benedetto |
Publisher |
: CRC Press |
Total Pages |
: 620 |
Release |
: 2020-03-10 |
ISBN-10 |
: 9781000658439 |
ISBN-13 |
: 1000658430 |
Rating |
: 4/5 (39 Downloads) |
Synopsis Journal of Fourier Analysis and Applications Special Issue by : John J. Benedetto
The Journal of Fourier Analysis and Applications is a journal of the mathematical sciences devoted to Fourier analysis and its applications. The subject of Fourier analysis has had a major impact on the development of mathematics, on the understanding of many engineering and scientific phenomena, and on the solution of some of the most important problems in mathematics and the sciences. At the end of June 1993, a large Conference in Harmonic Analysis was held at the University of Paris-Sud at Orsay to celebrate the prominent role played by Jean-Pierre Kahane and his numerous achievements in this field. The large variety of topics discussed in this meeting, ranging from classical Harmonic Analysis to Probability Theory, reflects the intense mathematical curiosity and the broad mathematical interest of Jean-Pierre Kahane. Indeed, all of them are connected to his work. The mornings were devoted to plenary addresses while up to four parallel sessions took place in the afternoons. Altogether, there were about eighty speakers. This wide range of subjects appears in these proceedings which include thirty six articles.
Author |
: |
Publisher |
: |
Total Pages |
: |
Release |
: 1994 |
ISBN-10 |
: OCLC:641919057 |
ISBN-13 |
: |
Rating |
: 4/5 (57 Downloads) |
Synopsis The Journal of Fourier Analysis and Applications by :
Author |
: G. B. Folland |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 447 |
Release |
: 2009 |
ISBN-10 |
: 9780821847909 |
ISBN-13 |
: 0821847902 |
Rating |
: 4/5 (09 Downloads) |
Synopsis Fourier Analysis and Its Applications by : G. B. Folland
This book presents the theory and applications of Fourier series and integrals, eigenfunction expansions, and related topics, on a level suitable for advanced undergraduates. It includes material on Bessel functions, orthogonal polynomials, and Laplace transforms, and it concludes with chapters on generalized functions and Green's functions for ordinary and partial differential equations. The book deals almost exclusively with aspects of these subjects that are useful in physics and engineering, and includes a wide variety of applications. On the theoretical side, it uses ideas from modern analysis to develop the concepts and reasoning behind the techniques without getting bogged down in the technicalities of rigorous proofs.
Author |
: Audrey Terras |
Publisher |
: Cambridge University Press |
Total Pages |
: 456 |
Release |
: 1999-03-28 |
ISBN-10 |
: 0521457181 |
ISBN-13 |
: 9780521457187 |
Rating |
: 4/5 (81 Downloads) |
Synopsis Fourier Analysis on Finite Groups and Applications by : Audrey Terras
It examines the theory of finite groups in a manner that is both accessible to the beginner and suitable for graduate research.
Author |
: Tim Olson |
Publisher |
: Birkhäuser |
Total Pages |
: 310 |
Release |
: 2017-11-20 |
ISBN-10 |
: 9781493973934 |
ISBN-13 |
: 1493973932 |
Rating |
: 4/5 (34 Downloads) |
Synopsis Applied Fourier Analysis by : Tim Olson
The first of its kind, this focused textbook serves as a self-contained resource for teaching from scratch the fundamental mathematics of Fourier analysis and illustrating some of its most current, interesting applications, including medical imaging and radar processing. Developed by the author from extensive classroom teaching experience, it provides a breadth of theory that allows students to appreciate the utility of the subject, but at as accessible a depth as possible. With myriad applications included, this book can be adapted to a one or two semester course in Fourier Analysis or serve as the basis for independent study. Applied Fourier Analysis assumes no prior knowledge of analysis from its readers, and begins by making the transition from linear algebra to functional analysis. It goes on to cover basic Fourier series and Fourier transforms before delving into applications in sampling and interpolation theory, digital communications, radar processing, medi cal imaging, and heat and wave equations. For all applications, ample practice exercises are given throughout, with collections of more in-depth problems built up into exploratory chapter projects. Illuminating videos are available on Springer.com and Link.Springer.com that present animated visualizations of several concepts. The content of the book itself is limited to what students will need to deal with in these fields, and avoids spending undue time studying proofs or building toward more abstract concepts. The book is perhaps best suited for courses aimed at upper division undergraduates and early graduates in mathematics, electrical engineering, mechanical engineering, computer science, physics, and other natural sciences, but in general it is a highly valuable resource for introducing a broad range of students to Fourier analysis.
Author |
: Albert Boggess |
Publisher |
: John Wiley & Sons |
Total Pages |
: 248 |
Release |
: 2011-09-20 |
ISBN-10 |
: 9781118211151 |
ISBN-13 |
: 1118211154 |
Rating |
: 4/5 (51 Downloads) |
Synopsis A First Course in Wavelets with Fourier Analysis by : Albert Boggess
A comprehensive, self-contained treatment of Fourier analysis and wavelets—now in a new edition Through expansive coverage and easy-to-follow explanations, A First Course in Wavelets with Fourier Analysis, Second Edition provides a self-contained mathematical treatment of Fourier analysis and wavelets, while uniquely presenting signal analysis applications and problems. Essential and fundamental ideas are presented in an effort to make the book accessible to a broad audience, and, in addition, their applications to signal processing are kept at an elementary level. The book begins with an introduction to vector spaces, inner product spaces, and other preliminary topics in analysis. Subsequent chapters feature: The development of a Fourier series, Fourier transform, and discrete Fourier analysis Improved sections devoted to continuous wavelets and two-dimensional wavelets The analysis of Haar, Shannon, and linear spline wavelets The general theory of multi-resolution analysis Updated MATLAB code and expanded applications to signal processing The construction, smoothness, and computation of Daubechies' wavelets Advanced topics such as wavelets in higher dimensions, decomposition and reconstruction, and wavelet transform Applications to signal processing are provided throughout the book, most involving the filtering and compression of signals from audio or video. Some of these applications are presented first in the context of Fourier analysis and are later explored in the chapters on wavelets. New exercises introduce additional applications, and complete proofs accompany the discussion of each presented theory. Extensive appendices outline more advanced proofs and partial solutions to exercises as well as updated MATLAB routines that supplement the presented examples. A First Course in Wavelets with Fourier Analysis, Second Edition is an excellent book for courses in mathematics and engineering at the upper-undergraduate and graduate levels. It is also a valuable resource for mathematicians, signal processing engineers, and scientists who wish to learn about wavelet theory and Fourier analysis on an elementary level.
Author |
: Loukas Grafakos |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 494 |
Release |
: 2008-09-18 |
ISBN-10 |
: 9780387094328 |
ISBN-13 |
: 0387094326 |
Rating |
: 4/5 (28 Downloads) |
Synopsis Classical Fourier Analysis by : Loukas Grafakos
The primary goal of this text is to present the theoretical foundation of the field of Fourier analysis. This book is mainly addressed to graduate students in mathematics and is designed to serve for a three-course sequence on the subject. The only prerequisite for understanding the text is satisfactory completion of a course in measure theory, Lebesgue integration, and complex variables. This book is intended to present the selected topics in some depth and stimulate further study. Although the emphasis falls on real variable methods in Euclidean spaces, a chapter is devoted to the fundamentals of analysis on the torus. This material is included for historical reasons, as the genesis of Fourier analysis can be found in trigonometric expansions of periodic functions in several variables. While the 1st edition was published as a single volume, the new edition will contain 120 pp of new material, with an additional chapter on time-frequency analysis and other modern topics. As a result, the book is now being published in 2 separate volumes, the first volume containing the classical topics (Lp Spaces, Littlewood-Paley Theory, Smoothness, etc...), the second volume containing the modern topics (weighted inequalities, wavelets, atomic decomposition, etc...). From a review of the first edition: “Grafakos’s book is very user-friendly with numerous examples illustrating the definitions and ideas. It is more suitable for readers who want to get a feel for current research. The treatment is thoroughly modern with free use of operators and functional analysis. Morever, unlike many authors, Grafakos has clearly spent a great deal of time preparing the exercises.” - Ken Ross, MAA Online