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Book Information

Author(s): M. Scott Osborne and Garth Warner
Title: The theory of Eisenstein systems
Additional book information: Academic Press, New York, 1981, xiii + 385 pp., $55.00. ISBN 0-1252-9250-3

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2.: J. Arthur, A trace formula for reductive groups. I, Duke Math. J. 45 (1978), II, Compositio Math. 40 (1980).
3.: J. Arthur, The trace formula in invariant form, Ann. of Math. (2) 114 (1981). MR 625344
4.: J. Arthur, On the inner product of truncated Eisenstein series, Duke Math. J. 49 (1982). MR 650368
5.: J. Arthur, On a family of distributions obtained from Eisenstein series. I: Application of the Paley-Wiener theorem; II: Explicit formulas, Amer. J. Math., vol. 104 (1982). MR 681737
6.: J. Arthur, A Paley-Wiener theorem for real reductive groups, Acta Math. (to appear). MR 697608
7.: M. Duflo and J.-P. Labesse, Sur la formule des traces de Selberg, Ann. Sci. École Norm. Sup. (4) 4 (1971). MR 437462
8.: M. Eichler, Lectures on modular correspondences, Tata Institute of Fundamental Research, Bombay, 1957.
9.: Y. Flicker, The trace formula and base change for GL(3), Lecture Notes in Math., vol. 927, Springer-Verlag, Berlin and New York, 1982. MR 663002
10.: I. M. Gelfand and S. V. Fomin, Geodesic flows on manifolds with constant negative curvature, Uspehi Math. Nauk 7 (1952). (Russian) MR 52701
11.: I. M. Gelfand, Automorphic functions and the theory of representations, Proc. Internat. Congr. Math., Stockholm, 1962. MR 175997
12.: J. Glimm and A. Jaffe, Quantum physics, Springer-Verlag, Berlin and New York, 1981. MR 628000
13.: R. Godement, Introduction aux travaux de Selberg, Sem. Bourbaki, 1957.
14.: R. Godement, Fonctions holomorphes de carré sommable dans le demi-plan de Siegel, Sem. H. Cartan, 1957/58.
15.: Harish-Chandra, Automorphic forms on semi-simple Lie groups, Lecture Notes in Math., vol. 62, Springer-Verlag, Berlin and New York, 1968.
16.: R. P. Langlands, On the functional equations satisfied by Eisenstein series, Lecture Notes in Math., vol. 544, Springer-Verlag, Berlin and New York, 1976. MR 579181
17.: H. Maass, Über eine neue Art von nichtanalytischen automorphen Funktionen, Math. Ann. 121 (1949). MR 31519
18.: W. Roelcke, Über die Wellengleichung bei Grenzkreisgruppen erster Art, Sitzungsber Heidelb. Akad. Wiss. Math.-Natur. Kl. 1953/1955 (1956), 159-267. MR 81967
19.: W. Roelcke, Analytische Fortsetzung der Eisensteinreihen zu den parabolischen Spitzen von Grenzkreisgruppen erster Art, Math. Ann. 132 (1956), 121-129. MR 82562
20.: W. Roelcke, Das Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. I, Math. Ann. 167 (1966), II, Math. Ann. 168 (1967). MR 1513277
21.: A. Selberg, Harmonic analysis and discontinuous groups in weakly symmetric Riemannian spaces with applications to Dirichlet Series, J. Indian Math. Soc. (N.S.) 20 (1956), 47-87. MR 88511
22.: A. Selberg, Discontinuous groups and harmonic analysis, Proc. Internat. Congr. Math., Stockholm, 1962. MR 176097

Review Information:
Journal: Bull. Amer. Math. Soc. 9 (1983), 351-361.
DOI: 10.1090/S0273-0979-1983-15206-0
PII: S 0273-0979(1983)15206-0

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ISSN 1088-9485(e) ISSN 0273-0979(p)

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