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Representations of compact groups | |
Compact groups and Haar measures | |
Representations, general constructions | |
A geometrical application | |
Finite-dimensional representations of compact groups | |
Decomposition of the regular representation | |
Convolution, Plancherel formula & Fourier inversion | |
Characters and group algebras | |
Induced representations and Frobenius-Weil reciprocity | |
Tannaka duality | |
Representations of the rotation group | |
Representations of Locally Compact Groups | |
Groups with few finite-dimensional representations | |
Invariant measures on locally compact groups and homogeneous spaces | |
Continuity properties of representations | |
Representations of G and of L1(G) | |
Schur's lemma: unbounded version | |
Discrete series of locally compact groups | |
The discrete series of S12(R) | |
The principal series of S12(R) | |
Decomposition along a commutative subgroup | |
Type I groups | |
Getting near an abstract Plancherel formula | |
Epilogue | |
Table of Contents provided by Publisher. All Rights Reserved. |
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