圖書標籤: 調和分析 數學 分析
发表于2024-12-28
Classical and Multilinear Harmonic Analysis pdf epub mobi txt 電子書 下載 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.
總之這本書如果有一位老司機帶著看會好很多吧。 第8,9,11章不錯。 習題有不少重要的例子(尤其in PDE),可以做做。
評分總之這本書如果有一位老司機帶著看會好很多吧。 第8,9,11章不錯。 習題有不少重要的例子(尤其in PDE),可以做做。
評分題太難瞭……
評分真有意思,明顯看齣兩個作者是東抄西抄寫完這本書的,主要在於書寫到一半的時候突然Fourier Trans裏麵那個2pi沒瞭,倆人還沒發現。。。笑死我瞭。。 聽Sogge講課好爽啊,他還經常講笑話。。。這就是隻用聽課不用自己看東西的感覺瞭,好輕鬆。。。
評分真有意思,明顯看齣兩個作者是東抄西抄寫完這本書的,主要在於書寫到一半的時候突然Fourier Trans裏麵那個2pi沒瞭,倆人還沒發現。。。笑死我瞭。。 聽Sogge講課好爽啊,他還經常講笑話。。。這就是隻用聽課不用自己看東西的感覺瞭,好輕鬆。。。
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Classical and Multilinear Harmonic Analysis pdf epub mobi txt 電子書 下載 2024