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Lie groups of mappings on non-compact spaces and manifolds
›
7 Lie group structures on weighted function spaces
›
7.4 Weighted Lie algebras and continuous product
1 Introduction
2 Preliminaries
2.1 Differential calculus in locally convex spaces
2.2 Manifolds
2.3 Infinite-dimensional Lie groups and their Lie algebras
2.4 Spaces of mappings
3 Cr,s-mappings
3.1 Elementary properties
3.2 Chain Rules for Cr,s-mappings
3.3 The Exponential Law for Cr,s-mappings
3.4 The Exponential Law for Cr,s-mappings on manifolds
4 Calpha
4.1 Elementary properties
4.2 Chain Rule for C-mappings
4.3 The Exponential Law for C-mappings
4.4 The Exponential Law for C-mappings on manifolds
5 Regular Lie groups and the Fundamental Theorem
6 The mapping group as an infinite-dimensional Lie group
6.1 Lie group structure on mapping groups
6.2 Iterative constructions
7 Lie group structures on weighted function spaces
7.1 Weighted function spaces
7.2 Weighted topological Lie algebras
7.3 The Lie group structure on CV(X,H)
7.4 Weighted Lie algebras and continuous product
Bibliography
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Dissertation (PhD)
Lie groups of mappings on non-compact spaces and manifolds
Place and Date of Creation
2013
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