| 書目名稱 | Classical Fourier Analysis |
| 編輯 | Loukas Grafakos |
| 視頻video | http://file.papertrans.cn/228/227070/227070.mp4 |
| 概述 | Historical notes at the end of each chapter.Numerous exercises for each chapter.User-friendly exposition with examples illustrating the definitions and ideas |
| 叢書名稱 | Graduate Texts in Mathematics |
| 圖書封面 |  |
| 描述 | .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. Asa 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 mode |
| 出版日期 | Textbook 20082nd edition |
| 關鍵詞 | Distribution; Fourier transform; Maximum; Minimum; Singular integral; Smooth function; calculus; convolutio |
| 版次 | 2 |
| doi | https://doi.org/10.1007/978-0-387-09432-8 |
| isbn_softcover | 978-1-4419-1855-0 |
| isbn_ebook | 978-0-387-09432-8Series ISSN 0072-5285 Series E-ISSN 2197-5612 |
| issn_series | 0072-5285 |
| copyright | Springer-Verlag New York 2008 |
|Archiver|手機版|小黑屋|
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