عنوان

Classical Fourier analysis /

شابک

1493911937

شابک

1493911945

شابک

9781493911936

شابک

9781493911943

شابک اشتباه

9781493911936

شماره

b623734

عنوان اصلي

Classical Fourier analysis /

نام عام مواد

[Book]

نام نخستين پديدآور

Loukas Grafakos.

وضعيت ويراست

Third edition.

نام خاص و کميت اثر

1 online resource (xvii, 638 pages) :

ساير جزييات

illustrations

عنوان فروست

Graduate texts in mathematics ;

مشخصه جلد

249

متن يادداشت

Includes bibliographical references and index.

متن يادداشت

Preface -- 1. Lp Spaces and Interpolation -- 2. Maximal Functions, Fourier Transform, and Distributions -- 3. Fourier Series -- 4. Topics on Fourier Series -- 5. Singular Integrals of Convolution Type -- 6. Littlewood?Paley Theory and Multipliers -- 7. Weighted Inequalities -- A. Gamma and Beta Functions -- B. Bessel Functions -- C. Rademacher Functions -- D. Spherical Coordinates -- E. Some Trigonometric Identities and Inequalities -- F. Summation by Parts -- G. Basic Functional Analysis -- H. The Minimax Lemma -- I. Taylor's and Mean Value Theorem in Several Variables -- J. The Whitney Decomposition of Open Sets in Rn -- Glossary -- References -- Index.

بدون عنوان

0

متن يادداشت

The main goal of this text is to present the theoretical foundation of the field of Fourier analysis on Euclidean spaces. It covers classical topics such as interpolation, Fourier series, the Fourier transform, maximal functions, singular integrals, and Littlewood-Paley theory. The primary readership is intended to be graduate students in mathematics with the prerequisite including satisfactory completion of courses in real and complex variables. The coverage of topics and exposition style are designed to leave no gaps in understanding and stimulate further study. This third edition includes new Sections 3.5, 4.4, 4.5 as well as a new chapter on "Weighted Inequalities, " which has been moved from GTM 250, 2nd Edition. Appendices I and B.9 are also new to this edition. Countless corrections and improvements have been made to the material from the second edition. Additions and improvements include: more examples and applications, new and more relevant hints for the existing exercises, new exercises, and improved references. Reviews from the Second Edition: "The books cover a large amount of mathematics. They are certainly a valuable and useful addition to the existing literature and can serve as textbooks or as reference books. Students will especially appreciate the extensive collection of exercises."--Andreas Seager, Mathematical Reviews "This book is very interesting and useful. It is not only a good textbook, but also an indispensable and valuable reference for researchers who are working on analysis and partial differential equations. The readers will certainly benefit a lot from the detailed proofs and the numerous exercises."--Yang Dachun, zbMATH--

منبع سفارش / آدرس اشتراک

Springer

شماره استاندارد بين المللي کتاب و موسيقي

9781493911936

موضوع مستند نشده

Fourier analysis.

موضوع مستند نشده

Fourier, Analyse de.

موضوع مستند نشده

Fourier analysis.

موضوع مستند نشده

Harmonische Analyse

موضوع مستند نشده

MAT034000

موضوع مستند نشده

PBKF

موضوع مستند نشده

PBKF

شماره

ويراست

شماره رده

مستند نام اشخاص تاييد نشده

Grafakos, Loukas

تاريخ عمليات

20200617082839.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y