Representation theory and automorphic forms

書誌事項

Representation theory and automorphic forms

Paul J. Sally Jr. and Nolan R. Wallach, editors

(Reprints from the Bulletin of the American Mathematical Society, v. 2)

American Mathematical Society, c1993

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注記

Bibliography: p. 215-219

内容説明・目次

内容説明

The eleven papers collected in this volume appeared in the Bulletin of the AMS during the years 1955 to 1984 and share the theme of the representation theory of locally compact groups and its numerous applications. The papers provide a glimpse at the historical development of a subject which has expanded into many areas of mathematics during the past forty years. In addition, this volume provides easy access to a useful set of references. Chronicling some of the most important developments by some of the field's major figures, this book will appeal to specialists in representation theory as well as to researchers in those areas of mathematics in which representation theory plays an important role.

目次

On the characters of a semisimple Lie group by Harish-Chandra Infinite-dimensional group representations by G. W. Mackey Translation-invariant cones of functions on semi-simple Lie groups by H. Furstenberg On the existence and irreducibility of certain series of representations by B. Kostant The action of a real semisimple group on a complex flag manifold. I: Orbit structure and holomorphic arc components by J. A. Wolf Harmonic analysis on semisimple Lie groups by Harish-Chandra On the Selberg trace formula in the case of compact quotient by N. R. Wallach Invariant differential equations on homogeneous manifolds by S. Helgason On the role of the Heisenberg group in harmonic analysis by R. Howe Ergodic theory, group representations, and rigidity by R. J. Zimmer An elementary introduction to the Langlands program by S. Gelbart.

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