Classical Fourier Analysis (SECOND EDITION)
經(jīng)典傅里葉分析（第三版）

Author: Loukas Grafakos

下載地址：https://www.zhisci.com/pdfshow/17701

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.
本文的主要目的是介紹歐氏空間傅立葉分析領(lǐng)域的理論基礎(chǔ)。它涵蓋了經(jīng)典的主題，如插值，傅立葉級(jí)數(shù)，傅立葉變換，極大函數(shù)，奇異積分，和利特爾伍德-佩利理論。主要讀者是數(shù)學(xué)專業(yè)的研究生，先決條件包括圓滿完成真實(shí)和復(fù)雜變量的課程。主題的覆蓋范圍和闡述的風(fēng)格是為了在理解上留下空白，并促進(jìn)進(jìn)一步的研究。

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.
第三版包括新的第3.5節(jié)、第4.4節(jié)、第4.5節(jié)以及關(guān)于“加權(quán)不等式”的新章節(jié)，該章節(jié)已從GTM 250第2版中刪除。附錄I和B.9也是本版新增內(nèi)容。對(duì)第二版的材料作了無數(shù)的修改和改進(jìn)。增加和改進(jìn)包括：更多的例子和應(yīng)用，現(xiàn)有練習(xí)的新的和更相關(guān)的提示，新的練習(xí)，和改進(jìn)的參考文獻(xiàn)。

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