CONTENTS

Foreword ix

Part 1

I. Reductive groups. Representations

Reductive groups 3

By T. A. SPRINGER

Reductive groups over local fields 29

By J. TITS

Representations of reductive Lie groups 71

By NOLAN R. WALLACH

Representations of GL2(R) and GL2(C) 87

By A. W. KNAPP

Normalizing factors, tempered representations, and L-groups .93

By A. W. KNAPP and GREGG ZUCKERMAN

Orbital integrals for GL2(i?) 107

By D. SHELSTAD

Representations of p-adic groups: A survey Ill

By P. CARTIER

Cuspidal unramified series for central simple algebras over local fields 157

By PAUL GERARDIN

Some remarks on the supercuspidal representations of/7-adic semisimple

groups 171

By G. LUSZTIG

II. Automorphic forms and representations

Decomposition of representations into tensor products 179

By D. FLATH

Classical and adelic automorphic forms. An introduction 185

By I. PIATETSKI-SHAPIRO

Automorphic forms and automorphic representations .189

By A. BOREL and H. JACQUET

On the notion of an automorphic representation. A supplement to the

preceding paper 203

By R. P. LANGLANDS

Multiplicity one theorems 209

By I. PIATETSKI-SHAPIRO

Forms of GL(2) from the analytic point of view 213

By STEPHEN GELBART and HERVE JACQUET

Eisenstein series and the trace formula 253

By JAMES ARTHUR

0-series and invariant theory 275

By R. HOWE

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