Bulletin of the American Mathematical Society

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.

Book Information

Author(s): C. Moeglin and J.-L. Waldspurger
Title: Spectral decomposition and Eisenstein series
Additional book information: Cambridge Univ. Press, Cambridge, New York, and Melbourne, 1995, xxvii+ 335, $80.00, ISBN 0-521-41893-3

1.: J. Arthur, `A trace formula for reductive groups I: terms associated to classes in $G({\mathbb{Q}})$ ', Duke Math. Jour. 45 (1978), pp. 911-951. MR 80d:10043
2.: J. Arthur, `Eisenstein series and the trace formula', in Automorphic Forms, Representations, and $L$ -functions, Proc. Symp. Pure Math. XXXIII, eds. A. Borel and W. Casselman,
A. M. S., 1979, pp. 253-274. MR 81b:10020
3.: J. Arthur, `Unipotent automorphic representations: global motivations', in Automorphic forms, Shimura varieties, and $L$ -functions II, Academic Press, 1990. MR 92a:11059
4.: E. P. van den Ban and H. Schlichtkrull, `A residue calculus for root systems', preprint, 1997.
5.: Y. Colin de Verdière, `Une nouvelles démonstration du prolongement méromorphe des séries d'Eisenstein', C. R. A. S. 293 (1981), pp. 361-363. MR 83a:10038
6.: I. Y. Efrat, The Selberg trace formula for $PSL_{2}({\mathbb{R}})^{n}$ , Memoirs of the A. M. S. 65, no. 359, 1987. MR 88e:11041
7.: Jens Franke, `Harmonic analysis in weighted $L^{2}$ -spaces', Ann. Sci. École Norm. Sup. 31 (1998), 181-279. CMP 98:08
8.: R. Godement, `The decomposition of $L^{2}(G/\Gamma )$ ', in Algebraic groups and discontinuous subgroups, Proc. Symp. Pure Math. IX, A. M. S., 1966. MR 35:1712
9.: R. Godement, `Introduction á la théorie de Langlands', Sém. Bourbaki 321 (1967/68).
10.: G. Harder, `Chevalley groups over function fields and automorphic forms', Ann. Math. 100 (1974), pp. 249-306. MR 58:27799
11.: Harish-Chandra, Automorphic forms on semi-simple Lie groups, Lect. Notes Math. 62, Springer, 1968. MR 38:1216
12.: T. Kubota, Elementary Theory of Eisenstein Series, Kodansha and J. Wiley, 1973. MR 55:2759
13.: R. P. Langlands, `Eisenstein series', in Algebraic groups and discontinuous subgroups, Proc. Symp. Pure Math. IX, A. M. S., 1966. MR 40:2784
14.: R. P. Langlands, On the functional equations satisfied by Eisenstein series, Lect. Notes Math. 544, Springer, 1976. MR 58:28319
15.: H. Maass, `Über eine neue Art von nichtanalytischen automorphen Funktionedn und die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen', Mat. Ann. 121 (1949), pp. 141-183. MR 11:163c
16.: C. Moeglin and J.-L. Waldspurger, `Le spectre résiduel de $GL_{n}$ ', Ann. Sci. Éc. Norm. Sup. 22 (1989), pp. 605-674. MR 91b:22028
17.: L. Morris, `Eisenstein series for reductive groups over global function fields I: the cusp form case', Can. Jour. Math. 34 (1982), pp. 91-168. MR 84j:22024a
18.: L. Morris, `Eisenstein series for reductive groups over global function fields II: the general case', Can. Jour. Math. 34 (1982), pp. 1112-82. MR 84j:22024b
19.: W. Müller, `The trace class conjecture in the theory of automorphic forms', Ann. Math. 130 (1989), pp. 473-530. MR 90m:11083
20.: W. Müller, `On the analytic continuation of rank one Eisenstein series', Geom. Funct. Anal. 6 (1996), pp. 572-586. CMP 96:13
21.: M. S. Osborne and G. Warner, The theory of Eisenstein systems, Pure and Appl. Math. 99, Academic Press, 1981.
22.: M. S. Osborne and G. Warner, `Partition, reduction, truncation', Pac. Jour. Math. 106 (1983), pp. 307-496. MR 87c:22022a
23.: W. Roelcke, `Analytische Fortsetzung der Eisensteinreihen zu den parabolischen Spitzen von Grenzkreisgruppen erster Art', Math. Ann. 132 (1956), pp. 121-129. MR 18:571b

Reviewer(s):
Bill Casselman
Affiliation: University of British Columbia
Email: cass@math.ubc.ca

MSC (1991): Primary 11F72
DOI: 10.1090/S0273-0979-98-00752-6
PII: S 0273-0979(98)00752-6
Copyright of article: Copyright 1998, American Mathematical Society

			Journals Home Search Author Info Subscribe Tech Support Help
ISSN 1088-9485(e) ISSN 0273-0979(p)

Previous issue \| Table of contents \| Next issue Articles in press \| Recently posted articles \| Most recent issue \| All issues: 1891 - Present Previous Article \| Next Article


	Comments: webmaster@ams.org © Copyright 2009, American Mathematical Society Privacy Statement		Search the AMS