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Regularity properties of infinite-dimensional Lie groups and exponential laws
Acknowledgements
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 (PhD)
Regularity properties of infinite-dimensional Lie groups and exponential laws / von Natalie Nikitin
Place and Date of Creation
Paderborn
2021
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