布尔甘在几何泛函分析中的遗产

IF 2 3区数学 Q1 MATHEMATICS

Bulletin of the American Mathematical Society Pub Date : 2020-12-02 DOI:10.1090/bull/1719

K. Ball

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引用次数: 3

摘要

．这篇文章是为了向Jean Bourgain致敬，描述了他在几何泛函分析方面的早期工作。它分为三个部分，讨论他在高维几何、度量几何和有限可逆性方面的工作。书中还简要介绍了这些领域在吉恩工作的30年里是如何发展的，这些领域的发展很大程度上受到了他的思想的影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The legacy of Jean Bourgain in geometric functional analysis

. This article was commissioned as a tribute to Jean Bourgain and describes his early work in geometric functional analysis. It is divided into three sections discussing his work in high-dimensional geometry, metric geometry, and restricted invertibility. It also includes a brief account of how these areas have developed in the three decades since Jean worked in them, much of their development inﬂuenced by his ideas.

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来源期刊

Bulletin of the American Mathematical Society 数学-数学

CiteScore

2.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.