## Weil's Representation and the Spectrum of the Metaplectic Group |

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### Contents

2 Metaplectic groups and representations | 11 |

3 AutomorphIc forms on the metaplectIc group | 51 |

archimedean places | 72 |

Copyright | |

3 other sections not shown

### Other editions - View all

Weil's Representation and the Spectrum of the Metaplectic Group Stephen S. Gelbart Limited preview - 2006 |

Weil's Representation and the Spectrum of the Metaplectic Group Stephen S. Gelbart No preview available - 2014 |

### Common terms and phrases

according algebra already appear arbitrary associated assume attached automorphic forms basic belongs Borel called character characteristic classical compact complete computation Consequently consistent constituents construction contains continuous Corollary correspondence covering cusp forms decomposition defined definition denote describe determined eigenvalues Eisenstein series element equal equivalent extension fact factor field finite follows formula functions genuine representation given global hand hence Hilbert identity implies induced integer intertwines invariant subspace irreducible representations irreducible unitary representation isomorphic Kubota Lemma measure metaplectic group Moreover multiplier namely natural non-trivial Note obtained obvious occur operator pairs particular precisely Proof Proposition prove quadratic form quotient realize recall remarks representation of G residual resp restriction satisfying series representation Shimura SL F space square square-integrable subgroup Subsection Suppose symbol Theorem theory tions trivial vector Weil's