内容简介
Infinite dimensional holomorphy is the study of holomorphic or analytic functions over complex topological vector spaces. The terms in this description are easily stated and explained and allow the subject to project itself initially, and innocently, as a compact theory with well defined boundaries. However, a comprehensive study would include delving into, and interacting with, not only the obvious topics of topology, several complex variables theory and functional analysis but also, differential geometry, Jordan algebras, Lie groups, operator theory, logic, differential equations and fixed point theory. This diversity leads to a dynamic synthesis of ideas and to an appreciation of a remarkable feature of mathematics - its unity. Unity requires synthesis while synthesis leads to unity.
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目录
Chapter 1 Polynomials
1.1 Continuous Polynomials _
1.2 Topologies on Spaces of Polynomials
1.3 Geometry of Spaces of Polynomials
1.4 Exercises
1.5 Notes
Chapter 2. Duality Theory for Polynomials
2.1 Special Spaces of Polynomials and the Approximation Property
2.2 Nuclear Spaces
2.3 Integral Polynomials and the Radon-Nikodym Property
2.4 Reflexivity and Related Concepts
2.5 Exercises
2.6 Notes
Chapter 3. Holomorphic Mappings between Locally Convex Spaces
3.1 Holomorphic Functions _
3.2 Topologies on Spaces of Holomorphic Mappings
3.3 The Quasi-Local Theory of Holomorphic Functions
3.4 Polynomials in the Quasi-Local Theory
3.5 Exercises
3.6 Notes
Chapter 4. Decompositions of Holomorphic Functions
Chapter 5. Riemann Domains
Chapter 6. Holomorphic Extensions
前言/序言
无限维空间上的复分析 [Complex Analysis on Infintie Dimensional Spaces] 下载 mobi epub pdf txt 电子书 格式
无限维空间上的复分析 [Complex Analysis on Infintie Dimensional Spaces] 下载 mobi pdf epub txt 电子书 格式 2024
无限维空间上的复分析 [Complex Analysis on Infintie Dimensional Spaces] 下载 mobi epub pdf 电子书
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8、如因业务发展,新增品类或活动有可能不参与返利,具体以京东公布为准。
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7、自2014年5月1日起,旅行(如国内机票等)、票务(如电影票、影视等)、珠宝首饰(纯金K金饰品、金银投资)无返利。
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200-100凑单的。很划算。我还希望是也破
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要知道,那可是三位触及天至尊的强者啊,虽说牧尘有着那诡异的灵力化身,但真要斗起来的话,恐怕取胜的几率,并不算太高。
无限维空间上的复分析 [Complex Analysis on Infintie Dimensional Spaces] mobi epub pdf txt 电子书 格式下载 2024