無限維空間上的復分析 [Complex Analysis on Infintie Dimensional Spaces] pdf epub mobi txt 電子書 下載 2024
內容簡介
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.
內頁插圖
目錄
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
無限維空間上的復分析 [Complex Analysis on Infintie Dimensional Spaces] 下載 mobi epub pdf txt 電子書
評分
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7、自2014年5月1日起,旅行(如國內機票等)、票務(如電影票、影視等)、珠寶首飾(純金K金飾品、金銀投資)無返利。
評分
☆☆☆☆☆
要知道,那可是三位觸及天至尊的強者啊,雖說牧塵有著那詭異的靈力化身,但真要鬥起來的話,恐怕取勝的幾率,並不算太高。
評分
☆☆☆☆☆
11、自2014年5月1日起,虛擬類商品、遊戲點卡,無返利。卡的訂單,無返利。
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☆☆☆☆☆
評分
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評分
☆☆☆☆☆
有絲毫的退步,反而更為的強硬與淩厲。
評分
☆☆☆☆☆
要知道,那可是三位觸及天至尊的強者啊,雖說牧塵有著那詭異的靈力化身,但真要鬥起來的話,恐怕取勝的幾率,並不算太高。
評分
☆☆☆☆☆
評分
☆☆☆☆☆
無限維空間上的復分析 [Complex Analysis on Infintie Dimensional Spaces] pdf epub mobi txt 電子書 下載