Classical and Multilinear Harmonic Analysis pdf epub mobi txt 电子书下载 2024

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Muscalu, Camil; Schlag, Wilhelm; Muscalu, C.

2013-1

387

$ 84.75

9780521882453

图书标签: 调和分析数学分析

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发表于2024-12-28

Classical and Multilinear Harmonic Analysis epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Classical and Multilinear Harmonic Analysis pdf epub mobi txt 电子书下载 2024

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This two-volume text in harmonic analysis introduces a wealth of analytical results and techniques. It is largely self-contained and will be useful to graduate students and researchers in both pure and applied analysis. Numerous exercises and problems make the text suitable for self-study and the classroom alike. This first volume starts with classical one-dimensional topics: Fourier series; harmonic functions; Hilbert transform. Then the higher-dimensional Calderon-Zygmund and Littlewood-Paley theories are developed. Probabilistic methods and their applications are discussed, as are applications of harmonic analysis to partial differential equations. The volume concludes with an introduction to the Weyl calculus. The second volume goes beyond the classical to the highly contemporary and focuses on multilinear aspects of harmonic analysis: the bilinear Hilbert transform; Coifman-Meyer theory; Carleson's resolution of the Lusin conjecture; Calderon's commutators and the Cauchy integral on Lipschitz curves. The material in this volume has not previously appeared together in book form.

Classical and Multilinear Harmonic Analysis 下载 mobi epub pdf txt 电子书

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Classical and Multilinear Harmonic Analysis pdf epub mobi txt 电子书下载

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用户评价

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书确实稍跳跃，于是适合慢慢读，带着问题读。最近看Besov，于是又回来看看Littlewood-Paley Theory。我几乎每天都要无数次的问自己：为什么我当初选择了计算机系而不是数学系，如果当初我知道计算机系是不做Learning Theory的就好了，为什么我如此自视清高，我做这些有什么意义，无论是发邮件给老师，人家说我专业背景不够，或是不回的。我的知识结构并不完整，我好羡慕数学系的科班生，轻易就能拥有我想有的一切，于是我只能“近乎偏执、暴力”地把怒火发泄在这些数学知识上，一边被这些知识碾压，觉得深陷无底深渊，质疑自己的能力甚至怀疑人生，一边又无法放弃，在这中间彷徨着受尽折磨。

评分☆☆☆☆☆

真有意思，明显看出两个作者是东抄西抄写完这本书的，主要在于书写到一半的时候突然Fourier Trans里面那个2pi没了，俩人还没发现。。。笑死我了。。听Sogge讲课好爽啊，他还经常讲笑话。。。这就是只用听课不用自己看东西的感觉了，好轻松。。。

评分☆☆☆☆☆

总之这本书如果有一位老司机带着看会好很多吧。第8，9，11章不错。习题有不少重要的例子(尤其in PDE)，可以做做。