Includes bibliographical references and index.

Structure theory of semisimple Lie groups / A. W. Knapp -- Characters of representations and paths in $\mathfrak {H}^*_{\mathrm {R}}$ / Peter Littelmann -- Irreducible representations of $\mathrm {SL}(2, \mathbf {R})$ / Robert W. Donley, Jr. -- General representation theory of real reductive Lie groups / M. Welleda Baldoni -- Infinitesimal character and distribution character of representations of reductive Lie groups / Patrick Delorme -- Discrete series / Wilfried Schmid and Vernon Bolton -- The Borel-Weil theorem for $\mathrm {U}(n)$ / Robert W. Donley, Jr. -- Induced representations and the Langlands classification / E. P. van den Ban -- Representations of $\mathrm {GL}(n)$ over the real field / C. Moeglin -- Orbital integrals, symmetric Fourier analysis, and eigenspace representations / Sigurdur Helgason -- Harmonic analysis on semisimple symmetric spaces: a survey of some general results / E. P. van den Ban, M. Flensted-Jensen and H. Schlichtkrull -- Cohomology and group representations / David A. Vogan, Jr. -- Introduction to the Langlands program / A. W. Knapp -- Representations of $\mathrm {GL}(n,F)$ in the non-Archimedean case / C. Moeglin -- Principal $L$-functions for $\mathrm {GL}(n)$ / Herv�e Jacquet -- Functoriality and the Artin conjecture / Jonathan D. Rogawski -- Theoretical aspects of the trace formula for $\mathrm {GL}(2)$ / A. W. Knapp -- Note on the analytic continuation of Eisenstein series: An appendix to "Theoretical aspects of the trace formula for $\mathrm {GL}(2)$" [in Representation theory and automorphic forms (Edinburgh, 1996), 355-405, Proc. Sympos. Pure Math., 61, Amer. Math. Soc., Providence, RI, 1997; MR1476505 (98k:11062)] by A. W. Knapp / Herv�e Jacquet -- Applications of the trace formula / A. W. Knapp and J. D. Rogawski -- Stability and endoscopy: informal motivation / James Arthur -- Automorphic spectrum of symmetric spaces / Herv�e Jacquet -- Where stands functoriality today? / Robert P. Langlands --

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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