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Wave front sets of nilpotent lie group representations
Wave Front Sets
Wave Front Sets of Unitary Representations
Abstract
Zusammenfassung
Acknowledgments
Introduction
Wave Front Sets
Wave Front Sets of Distributions on Manifolds
Wave Front Sets of Unitary Representations
Historic Overview of known Results for Wave Front Sets of Lie Groups
Nilpotent Lie Groups and Lie Algebras
General Theory
Heisenberg group
The Group K3
Wave Front Sets of Nilpotent Lie Groups
Proof of the Inclusion AC subset WF
Proof of the Inclusion WF subset AC
Alternative Proofs
Integrated Characters
The Inclusion AC subset WF
The Inclusion WF subset AC
Integral Kernels of Integrated Representations
Applications to Restrictions of Representations
Outlook
List of Figures
References
Dissertation
Wave front sets of nilpotent lie group representations / Julia Budde ; supervised by Jun.-Prof. Dr. Tobias Weich
Entstehung
Paderborn
2021
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