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Unitary Representations and Unitary Duals

This graduate textbook introduces the unitary representation theory of groups, emphasizing applications in fields like dynamical systems. It begins with the general theory and motivation, then explores key classes of groups. Abelian and compact groups are treated through Pontryagin duality and the P...

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Hlavní autoři: Einsiedler, Manfred (Autor), Ward, Thomas (Autor)
Korporativní autor: SpringerLink (Online service)
Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Cham : Springer Nature Switzerland : Imprint: Springer, 2025.
Vydání:1st ed. 2025.
Edice:Graduate Texts in Mathematics, 308
Témata:
Topological groups.
Lie groups.
Harmonic analysis.
Dynamical systems.
Functional analysis.
Topological Groups and Lie Groups.
Abstract Harmonic Analysis.
Dynamical Systems.
Functional Analysis.
On-line přístup:https://doi.org/10.1007/978-3-032-03899-9
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Obsah:
  • 1 Unitary Representations
  • 2 Abelian Groups
  • 3 Compact Groups
  • 4 Lie Algebras and Unitary Representations of SU2(R)
  • 5 Normal Abelian Subgroups and Unitary Duals
  • 6 Weak Containment and the Fell Topology
  • 7 Smooth Vectors and Decay for SL3(R)
  • 8 Discrete Series Representations and Temperedness
  • 9 Unitary Representations of SL2(R)
  • Appendix A: Linear Algebra
  • Appendix B: Analysis
  • Appendix C: Topological Groups.

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