| 書(shū)目名稱(chēng) | Modern Fourier Analysis | | 編輯 | Loukas Grafakos | | 視頻video | http://file.papertrans.cn/638/637144/637144.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(shū)名稱(chēng) | Graduate Texts in Mathematics | | 圖書(shū)封面 |  | | 描述 | 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- tiona | | 出版日期 | Textbook 20092nd edition | | 關(guān)鍵詞 | Singular integral; Smooth function; bounded mean oscillation; calculus; convolution; differential equatio | | 版次 | 2 | | doi | https://doi.org/10.1007/978-0-387-09434-2 | | isbn_softcover | 978-1-4419-1856-7 | | isbn_ebook | 978-0-387-09434-2Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | Springer-Verlag New York 2009 |
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