| 书目名称 | Classical Fourier Analysis | | 编辑 | Loukas Grafakos | | 视频video | | | 概述 | New edition extensively revised and updated, including 1000 different corrections and improvements in the existing text.Includes a new chapter, "Topics on Fourier series", including sections on Gibbs | | 丛书名称 | Graduate Texts in Mathematics | | 图书封面 |  | | 描述 | .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.. | | 出版日期 | Textbook 2014Latest edition | | 关键词 | Bessel Functions; Gibbs phenomenon; Littlewood-Paley Theory; Spherical Fourier inversion; Tauberian theo | | 版次 | 3 | | doi | https://doi.org/10.1007/978-1-4939-1194-3 | | isbn_softcover | 978-1-4939-3916-9 | | isbn_ebook | 978-1-4939-1194-3Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | Springer Science+Business Media, LLC, part of Springer Nature 2014 |
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发表于 2025-3-21 16:23:52
