Journal of Fourier Analysis and Applications Special Issue

Journal of Fourier Analysis and Applications Special Issue PDF Author: John J. Benedetto
Publisher: CRC Press
ISBN: 1000674150
Category : Mathematics
Languages : en
Pages : 668

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Book Description
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.

Journal of Fourier Analysis and Applications Special Issue

Journal of Fourier Analysis and Applications Special Issue PDF Author: John J. Benedetto
Publisher: CRC Press
ISBN: 1000674150
Category : Mathematics
Languages : en
Pages : 668

Get Book Here

Book Description
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.

Ergodic Theory and Its Connection with Harmonic Analysis

Ergodic Theory and Its Connection with Harmonic Analysis PDF Author: Karl Endel Petersen
Publisher: Cambridge University Press
ISBN: 0521459990
Category : Ergodic theory
Languages : en
Pages : 452

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Book Description
Tutorial survey papers on important areas of ergodic theory, with related research papers.

Topics in Harmonic Analysis and Ergodic Theory

Topics in Harmonic Analysis and Ergodic Theory PDF Author: Joseph Rosenblatt
Publisher: American Mathematical Soc.
ISBN: 0821842358
Category : Mathematics
Languages : en
Pages : 242

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Book Description
There are strong connections between harmonic analysis and ergodic theory. A recent example of this interaction is the proof of the spectacular result by Terence Tao and Ben Green that the set of prime numbers contains arbitrarily long arithmetic progressions. This text presents a series of essays on the topic.

Excursions in Harmonic Analysis, Volume 3

Excursions in Harmonic Analysis, Volume 3 PDF Author: Radu Balan
Publisher: Birkhäuser
ISBN: 331913230X
Category : Mathematics
Languages : en
Pages : 344

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Book Description
This volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 – 2013. Containing cutting-edge results by an impressive array of mathematicians, engineers, and scientists in academia, industry, and government, it will be an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, physics, and engineering. Topics covered include · spectral analysis and correlation; · radar and communications: design, theory, and applications; · sparsity · special topics in harmonic analysis. The February Fourier Talks are held annually at the Norbert Wiener Center for Harmonic Analysis and Applications. Located at the University of Maryland, College Park, the Norbert Wiener Center provides a state-of- the-art research venue for the broad emerging area of mathematical engineering.

Harmonic Analysis

Harmonic Analysis PDF Author: Palle E.T. Jorgensen
Publisher: American Mathematical Soc.
ISBN: 1470448807
Category : Mathematics
Languages : en
Pages : 281

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Book Description
There is a recent and increasing interest in harmonic analysis of non-smooth geometries. Real-world examples where these types of geometry appear include large computer networks, relationships in datasets, and fractal structures such as those found in crystalline substances, light scattering, and other natural phenomena where dynamical systems are present. Notions of harmonic analysis focus on transforms and expansions and involve dual variables. In this book on smooth and non-smooth harmonic analysis, the notion of dual variables will be adapted to fractals. In addition to harmonic analysis via Fourier duality, the author also covers multiresolution wavelet approaches as well as a third tool, namely, L2 spaces derived from appropriate Gaussian processes. The book is based on a series of ten lectures delivered in June 2018 at a CBMS conference held at Iowa State University.

Recent Trends in Ergodic Theory and Dynamical Systems

Recent Trends in Ergodic Theory and Dynamical Systems PDF Author: Siddhartha Bhattacharya
Publisher: American Mathematical Soc.
ISBN: 1470409313
Category : Mathematics
Languages : en
Pages : 272

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Book Description
This volume contains the proceedings of the International Conference on Recent Trends in Ergodic Theory and Dynamical Systems, in honor of S. G. Dani's 65th Birthday, held December 26-29, 2012, in Vadodara, India. This volume covers many topics of ergodic theory, dynamical systems, number theory and probability measures on groups. Included are papers on Teichmüller dynamics, Diophantine approximation, iterated function systems, random walks and algebraic dynamical systems, as well as two surveys on the work of S. G. Dani.

Annales de l'Institut Fourier

Annales de l'Institut Fourier PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 640

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Book Description


Guide to Programs

Guide to Programs PDF Author: National Science Foundation (U.S.)
Publisher:
ISBN:
Category :
Languages : en
Pages : 88

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Book Description


Ergodic Theory, Groups, and Geometry

Ergodic Theory, Groups, and Geometry PDF Author: Robert J. Zimmer
Publisher: American Mathematical Soc.
ISBN: 0821883364
Category : Mathematics
Languages : en
Pages : 103

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Book Description
"The study of group actions on manifolds is the meeting ground of a variety of mathematical areas. In particular, interesting geometric insights can be obtained by applying measure-theoretic techniques. This book provides an introduction to some of the important methods, major developments, and open problems in the subject. It is slightly expanded from lectures given by Zimmer at the CBMS conference at the University of Minnesota. The main text presents a perspective on the field as it was at that time. Comments at the end of each chapter provide selected suggestions for further reading, including references to recent developments."--BOOK JACKET.

Matrix Completions, Moments, and Sums of Hermitian Squares

Matrix Completions, Moments, and Sums of Hermitian Squares PDF Author: Mihály Bakonyi
Publisher: Princeton University Press
ISBN: 1400840597
Category : Mathematics
Languages : en
Pages : 533

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Book Description
Intensive research in matrix completions, moments, and sums of Hermitian squares has yielded a multitude of results in recent decades. This book provides a comprehensive account of this quickly developing area of mathematics and applications and gives complete proofs of many recently solved problems. With MATLAB codes and more than 200 exercises, the book is ideal for a special topics course for graduate or advanced undergraduate students in mathematics or engineering, and will also be a valuable resource for researchers. Often driven by questions from signal processing, control theory, and quantum information, the subject of this book has inspired mathematicians from many subdisciplines, including linear algebra, operator theory, measure theory, and complex function theory. In turn, the applications are being pursued by researchers in areas such as electrical engineering, computer science, and physics. The book is self-contained, has many examples, and for the most part requires only a basic background in undergraduate mathematics, primarily linear algebra and some complex analysis. The book also includes an extensive discussion of the literature, with close to 600 references from books and journals from a wide variety of disciplines.