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Regularity properties of infinite-dimensional Lie groups and exponential laws
Exponential laws for spaces of differentiable functions on topological groups
Properties of Ck- and Ck,l-functions
Acknowledgements
Abstract
Introduction
Exponential laws for spaces of differentiable functions on topological groups
Differentiability on topological groups
Differentiability on products of topological groups
Properties of Ck- and Ck,l-functions
Properties of spaces of Ck- and Ck,l-functions
The exponential law
Differentiability along one-parameter subgroups compared to differentiability on Lie groups as manifolds
Differentiability on manifolds
Differentiability on certain Lie groups
Measurable regularity of infinite-dimensional Lie groups based on Lusin measurability
Measurable functions and Lebesgue spaces
Spaces ACLp([a,b],E) and ACLp([a,b],G)
Measurable regularity of Lie groups
Bibliography
Dissertation
Regularity properties of infinite-dimensional Lie groups and exponential laws / von Natalie Nikitin
Entstehung
Paderborn
2021
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