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Automorphic Forms, Representations and $L$-Functions, Part 1

About this Title

A. Borel and W. Casselman, Editors

Publication: Proceedings of Symposia in Pure Mathematics
Publication Year: 1979; Volume 33.1
ISBNs: 978-0-8218-1435-2 (print); 978-0-8218-3347-6 (online)
DOI: https://doi.org/10.1090/pspum/033.1

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Table of Contents

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Front/Back Matter

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Reductive groups. Representations

• T. A. Springer – Reductive groups [MR 546587]
• J. Tits – Reductive groups over local fields [MR 546588]
• Nolan R. Wallach – Representations of reductive Lie groups [MR 546589]
• A. W. Knapp – Representations of $\mathrm {GL}_{2}(\mathbf {R})$ and $\mathrm {GL}_{2}(\mathbf {C})$ [MR 546590]
• A. W. Knapp and Gregg Zuckerman – Normalizing factors, tempered representations, and $L$-groups [MR 546591]
• D. Shelstad – Orbital integrals for $\mathrm {GL}_{2}(\mathbf {R})$ [MR 546592]
• P. Cartier – Representations of $\mathfrak {p}$-adic groups: a survey [MR 546593]
• Paul Gérardin – Cuspidal unramified series for central simple algebras over local fields [MR 546594]
• G. Lusztig – Some remarks on the supercuspidal representations of $p$-adic semisimple groups [MR 546595]

Automorphic forms and representations

• D. Flath – Decomposition of representations into tensor products [MR 546596]
• I. I. Piatetski-Shapiro – Classical and adelic automorphic forms. An introduction [MR 546597]
• A. Borel and H. Jacquet – Automorphic forms and automorphic representations [MR 546598]
• R. P. Langlands – On the notion of an automorphic representation. A supplement to the preceding paper [MR 9811]
• I. I. Piatetski-Shapiro – Multiplicity one theorems [MR 546599]
• Stephen Gelbart and Hervé Jacquet – Forms of $\mathrm {GL}(2)$ from the analytic point of view [MR 546600]
• James Arthur – Eisenstein series and the trace formula [MR 546601]
• R. Howe – $\theta$-series and invariant theory [MR 546602]
• Stephen Gelbart – Examples of dual reductive pairs [MR 546603]
• S. Rallis – On a relation between $\widetilde {\mathrm {SL}}_{2}$ cusp forms and automorphic forms on orthogonal groups [MR 546604]
• R. Howe and I. I. Piatetski-Shapiro – A counterexample to the “generalized Ramanujan conjecture” for (quasi-) split groups [MR 546605]