图书标签: 调和分析 数学 分析
发表于2024-09-06
Classical and Multilinear Harmonic Analysis pdf epub mobi txt 电子书 下载 2024
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.
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。
评分题太难了……
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。
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Classical and Multilinear Harmonic Analysis pdf epub mobi txt 电子书 下载 2024