## Representation Theory and Harmonic Analysis: A Conference in Honor of Ray A. Kunze, January 12-14, 1994, Cincinnati, Ohio (Google eBook)This volume is an outgrowth of the special session on representation theory and harmonic analysis held in honour of Ray Kunze at the 889th meeting of the American Mathematical Society in January 1994. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

1 | |

Geometric Realizations for Highest Weight Representations | 13 |

Hankel Transforms and Holomorphic Discrete Series | 33 |

Fonctions Spheriques sur un Espace Symetrique Ordonne de Type Cayley | 41 |

On Derived Intertwining Norms for the Lorentz Group | 57 |

THE HOLOMORPHIC CAUCHYSZEGÖ KERNEL FOR NONHOLOMORPHIC DISCRETE SERIES REPRESENTATIONS OF SU21 | 75 |

Invariant Theory for Boundary Components | 83 |

Decomposition of Exterior Algebras | 99 |

Inversion of an Integral Transform and Ladder Representations of U1 q | 117 |

FOURIER INVERSION IN SEVERAL VARIABLES A NEW LOOK AT AN OLD PROBLEM | 139 |

Total Positivity Harmonic Analysis and Random Walks on Weyl Chambers | 153 |

Covariant Differential Operators and Derived Functor Modules | 163 |

Dual Representations and Invariant Theory | 205 |

On the HarishChandra Homomorphism of Invariant Differential Operators on a Reductive Lie Algebra | 223 |

Spectral Zeta Series of Rank 1 Space Forms | 245 |

On a Mean Value Property for Hyperbolic Spaces | 107 |

### Common terms and phrases

A+(E A+(m action Amer analytically integral assume Bessel functions Cartan Casimir invariants Cauchy-Szego CDO pair cohomology compact completes the proof complex compute cone converges Corollary corresponding decomposition define definition denote derived functor dflk discrete series dominant integral dual representations element equation F(CnxN finite finite-dimensional follows formula functor given group G Harish-Chandra harmonic analysis Hence Hermitian highest weight representations highest weight vector Hilbert space holomorphic homogeneous induced inner product invariant differential operators irreducible representation isomorphism Kunze Lemma Lie algebra Lie group linear Math Mathematics Subject Classification matrices module multiple nonsingular nonzero notation obtain orthogonal parabolic PROPOSITION prove radial function reduction point reductive Lie algebra representation theory resp respect restriction result semisimple spectral sequence structure subalgebra subgroup subset subspace symetrique symmetric spaces Theorem total positivity transform unitary representation Verma module Wallach Weyl chamber Weyl group Zuckerman functor