Book contents
- Frontmatter
- Contents
- Foreword
- Conventional notations and terminology
- PART I REPRESENTATIONS OF COMPACT GROUPS
- PART II REPRESENTATIONS OF LOCALLY COMPACT GROUPS
- 11 Groups with few finite-dimensional representations
- 12 Invariant measures on locally compact groups and homogeneous spaces
- 13 Continuity properties of representations
- 14 Representations of G and of L1(G)
- 15 Schur's lemma: unbounded version
- 16 Discrete series of locally compact groups
- 17 The discrete series of S12(ℝ)
- 18 The principal series of S12(ℝ)
- 19 Decomposition along a commutative subgroup
- 20 Type I groups
- 21 Getting near an abstract Plancherel formula
- Epilogue
- References
- Index
16 - Discrete series of locally compact groups
Published online by Cambridge University Press: 20 March 2010
Book contents
- Frontmatter
- Contents
- Foreword
- Conventional notations and terminology
- PART I REPRESENTATIONS OF COMPACT GROUPS
- PART II REPRESENTATIONS OF LOCALLY COMPACT GROUPS
- 11 Groups with few finite-dimensional representations
- 12 Invariant measures on locally compact groups and homogeneous spaces
- 13 Continuity properties of representations
- 14 Representations of G and of L1(G)
- 15 Schur's lemma: unbounded version
- 16 Discrete series of locally compact groups
- 17 The discrete series of S12(ℝ)
- 18 The principal series of S12(ℝ)
- 19 Decomposition along a commutative subgroup
- 20 Type I groups
- 21 Getting near an abstract Plancherel formula
- Epilogue
- References
- Index
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- Publisher: Cambridge University PressPrint publication year: 1983