Introduction To Fourier Analysis On Euclidean Spaces Pms 32 Volume 32 PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Introduction To Fourier Analysis On Euclidean Spaces Pms 32 Volume 32 PDF full book. Access full book title Introduction To Fourier Analysis On Euclidean Spaces Pms 32 Volume 32.
Author | : Elias M. Stein |
Publisher | : |
Total Pages | : 310 |
Release | : 2016 |
Genre | : Harmonic analysis |
ISBN | : |
Download Introduction to Fourier Analysis on Euclidean Spaces (PMS-32), Volume 32 Book in PDF, ePub and Kindle
The authors present a unified treatment of basic topics that arise in Fourier analysis. Their intention is to illustrate the role played by the structure of Euclidean spaces, particularly the action of translations, dilatations, and rotations, and to motivate the study of harmonic analysis on more general spaces having an analogous structure, e.g., symmetric spaces.
Author | : Elias M. Stein |
Publisher | : Princeton University Press |
Total Pages | : 318 |
Release | : 1971-11-21 |
Genre | : Mathematics |
ISBN | : 9780691080789 |
Download Introduction to Fourier Analysis on Euclidean Spaces Book in PDF, ePub and Kindle
The authors present a unified treatment of basic topics that arise in Fourier analysis. Their intention is to illustrate the role played by the structure of Euclidean spaces, particularly the action of translations, dilatations, and rotations, and to motivate the study of harmonic analysis on more general spaces having an analogous structure, e.g., symmetric spaces.
Author | : Elías M. Stein |
Publisher | : |
Total Pages | : 297 |
Release | : 1975 |
Genre | : |
ISBN | : |
Download Introduction to Fourier Analysis on Euclidean Spaces Book in PDF, ePub and Kindle
Author | : Elias M. Stein |
Publisher | : |
Total Pages | : |
Release | : |
Genre | : Fourier transformations |
ISBN | : |
Download Introduction to Fourier analysis on Euclidean spaces, by E.M. Stein & G. Weiss Book in PDF, ePub and Kindle
Author | : M. H. Taibleson |
Publisher | : Princeton University Press |
Total Pages | : 308 |
Release | : 2015-03-08 |
Genre | : Mathematics |
ISBN | : 1400871336 |
Download Fourier Analysis on Local Fields. (MN-15) Book in PDF, ePub and Kindle
This book presents a development of the basic facts about harmonic analysis on local fields and the n-dimensional vector spaces over these fields. It focuses almost exclusively on the analogy between the local field and Euclidean cases, with respect to the form of statements, the manner of proof, and the variety of applications. The force of the analogy between the local field and Euclidean cases rests in the relationship of the field structures that underlie the respective cases. A complete classification of locally compact, non-discrete fields gives us two examples of connected fields (real and complex numbers); the rest are local fields (p-adic numbers, p-series fields, and their algebraic extensions). The local fields are studied in an effort to extend knowledge of the reals and complexes as locally compact fields. The author's central aim has been to present the basic facts of Fourier analysis on local fields in an accessible form and in the same spirit as in Zygmund's Trigonometric Series (Cambridge, 1968) and in Introduction to Fourier Analysis on Euclidean Spaces by Stein and Weiss (1971). Originally published in 1975. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author | : Elias M. Stein |
Publisher | : Princeton University Press |
Total Pages | : 306 |
Release | : 2016-06-02 |
Genre | : Mathematics |
ISBN | : 1400883881 |
Download Singular Integrals and Differentiability Properties of Functions (PMS-30), Volume 30 Book in PDF, ePub and Kindle
Singular integrals are among the most interesting and important objects of study in analysis, one of the three main branches of mathematics. They deal with real and complex numbers and their functions. In this book, Princeton professor Elias Stein, a leading mathematical innovator as well as a gifted expositor, produced what has been called the most influential mathematics text in the last thirty-five years. One reason for its success as a text is its almost legendary presentation: Stein takes arcane material, previously understood only by specialists, and makes it accessible even to beginning graduate students. Readers have reflected that when you read this book, not only do you see that the greats of the past have done exciting work, but you also feel inspired that you can master the subject and contribute to it yourself. Singular integrals were known to only a few specialists when Stein's book was first published. Over time, however, the book has inspired a whole generation of researchers to apply its methods to a broad range of problems in many disciplines, including engineering, biology, and finance. Stein has received numerous awards for his research, including the Wolf Prize of Israel, the Steele Prize, and the National Medal of Science. He has published eight books with Princeton, including Real Analysis in 2005.
Author | : Loukas Grafakos |
Publisher | : Springer Science & Business Media |
Total Pages | : 494 |
Release | : 2008-09-18 |
Genre | : Mathematics |
ISBN | : 0387094326 |
Download Classical Fourier Analysis Book in PDF, ePub and Kindle
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
Author | : Loukas Grafakos |
Publisher | : Springer Science & Business Media |
Total Pages | : 517 |
Release | : 2009-04-28 |
Genre | : Mathematics |
ISBN | : 0387094342 |
Download Modern Fourier Analysis Book in PDF, ePub and Kindle
The great response to the publication of the book Classical and Modern Fourier Analysishasbeenverygratifying.IamdelightedthatSpringerhasofferedtopublish the second edition of this book in two volumes: Classical Fourier Analysis, 2nd Edition, and Modern Fourier Analysis, 2nd Edition. These volumes are mainly addressed to graduate students who wish to study Fourier analysis. This second volume is intended to serve as a text for a seco- semester course in the subject. It is designed to be a continuation of the rst v- ume. Chapters 1–5 in the rst volume contain Lebesgue spaces, Lorentz spaces and interpolation, maximal functions, Fourier transforms and distributions, an introd- tion to Fourier analysis on the n-torus, singular integrals of convolution type, and Littlewood–Paley theory. Armed with the knowledgeof this material, in this volume,the reader encounters more advanced topics in Fourier analysis whose development has led to important theorems. These theorems are proved in great detail and their proofs are organized to present the ow of ideas. The exercises at the end of each section enrich the material of the corresponding section and provide an opportunity to develop ad- tional intuition and deeper comprehension. The historical notes in each chapter are intended to provide an account of past research but also to suggest directions for further investigation. The auxiliary results referred to the appendix can be located in the rst volume.
Author | : J. S. Milne |
Publisher | : Princeton University Press |
Total Pages | : 346 |
Release | : 1980-04-21 |
Genre | : Mathematics |
ISBN | : 9780691082387 |
Download Etale Cohomology (PMS-33) Book in PDF, ePub and Kindle
One of the most important mathematical achievements of the past several decades has been A. Grothendieck's work on algebraic geometry. In the early 1960s, he and M. Artin introduced étale cohomology in order to extend the methods of sheaf-theoretic cohomology from complex varieties to more general schemes. This work found many applications, not only in algebraic geometry, but also in several different branches of number theory and in the representation theory of finite and p-adic groups. Yet until now, the work has been available only in the original massive and difficult papers. In order to provide an accessible introduction to étale cohomology, J. S. Milne offers this more elementary account covering the essential features of the theory. The author begins with a review of the basic properties of flat and étale morphisms and of the algebraic fundamental group. The next two chapters concern the basic theory of étale sheaves and elementary étale cohomology, and are followed by an application of the cohomology to the study of the Brauer group. After a detailed analysis of the cohomology of curves and surfaces, Professor Milne proves the fundamental theorems in étale cohomology -- those of base change, purity, Poincaré duality, and the Lefschetz trace formula. He then applies these theorems to show the rationality of some very general L-series. Originally published in 1980. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author | : Elias M. Stein |
Publisher | : Princeton University Press |
Total Pages | : 443 |
Release | : 2011-09-11 |
Genre | : Mathematics |
ISBN | : 0691113874 |
Download Functional Analysis Book in PDF, ePub and Kindle
"This book covers such topics as Lp ̂spaces, distributions, Baire category, probability theory and Brownian motion, several complex variables and oscillatory integrals in Fourier analysis. The authors focus on key results in each area, highlighting their importance and the organic unity of the subject"--Provided by publisher.