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Available in print format 		Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Book Review

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Book Information

Author(s): David Gurarie
Title: Symmetries and Laplacians: Introduction to harmonic analysis, group representations and applications
Additional book information: North-Holland, Amsterdam, 1992, vii+453 pp., $128.50. ISBN 0444 886 125

References:

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J. Angel, N. Celniker, S. Poulos, A. Terras, C. Trimble, and E. Velasquez, Special functions on finite upper half planes, Contemp. Math., vol. 138, Amer. Math. Soc., Providence, RI, 1992, pp. 1-26. MR 1199118 (94h:11041)

[2]
J. Angel, S. Poulos, A. Terras, C. Trimble, and E. Velasquez, Spherical functions and transforms on finite upper half planes: chaotic pictures, uncertainty, traces, preprint.

[3]
J. Arthur, The trace formula and Hecke operators, Number Theory, Trace Formulas, and Discrete Groups (K. E. Aubert et al., eds.), Academic Press, Boston, MA, 1989, pp. 11-27. MR 993309 (90e:11072)

[4]
F. Bien, Construction of telephone networks by group representations, Notices Amer. Math. Soc. 36 (1989), 187-196. MR 972207 (90a:90052)

[5]
E. D. Bolker, The finite Radon transform, Contemp. Math., vol. 63, Amer. Math. Soc., Providence, RI, 1987, pp. 27-50. MR 876312 (88b:51009)

[6]
F. Chung, Constructing random-like graphs, Proc. Sympos. Appl. Math., vol. 44, Amer. Math. Soc., Providence, RI, 1991, pp. 21-55. MR 1141922 (92m:05169)

[7]
P. Diaconis, Group representations in probability and statistics, Inst. Math. Statistics, Hayward, CA, 1988. MR 964069 (90a:60001)

[8]
D. L. Donoho and P. B. Stark, Uncertainty principles and signal recovery, SIAM J. Applied Math. 49 (1989), 906-931. MR 997928 (90c:42003)

[9]
J. R. Driscoll and D. M. Healy, Jr., Computing Fourier transforms and convolutions on the 2-sphere, preprint.

[10]
D. Greenspan, Discrete models, Addison-Wesley, Reading, MA, 1973. MR 0366132 (51:2382)

[11]
M. C. Gutzwiller, Chaos in classical and quantum mechanics, Springer-Verlag, New York, 1990. MR 1077246 (91m:58099)

[12]
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[13]
A Lubotsky, R. Phillips, and P. Sarnak, Ramanujan graphs, Combinatorica 8 (1988), 261-277. MR 963118 (89m:05099)

[14]
F. J. MacWilliams and N. J. A. Sloane, The theory of error-correcting codes, North Holland, Amsterdam, 1988.

[15]
A. Mukhopadhyay (ed.), Recent developments in switching theory, Academic Press, New York, 1971. MR 0278844 (43:4572)

[16]
Y. Nambu, Field theory of Galois fields, Quantum Field Theory and Quantum Statistics. I (I. A. Batalin et al., eds.), Hilger, Bristol, 1987, pp. 625-636. MR 943162 (90a:81154)

[17]
I. I. Piatetski-Shapiro, Complex representations of $ {\text{GL(2,}}K{\text{)}}$ for finite fields K, Contemp. Math., vol. 16, Amer. Math. Soc., Providence, RI, 1983. MR 696772 (84m:20046)

[18]
A. Terras, Harmonic analysis on symmetric spaces and applications. I, II, Springer-Verlag, New York, 1985, 1988. MR 791406 (87f:22010)

[19]
-, Fourier analysis on finite groups and applications, Univ. of California, San Diego Lecture Notes.

[20]
E. Velasquez, Ph.D. thesis, Univ. of California, San Diego, 1991.

[21]
D. I. Wallace, The Selberg trace formula for $ \mathrm{SL}(3, \mathbb{Z})\backslash \mathrm{SL}(3, \mathbb{R})/\mathrm{SO}(3, \mathbb{R})$, Trans. Amer. Math. Soc. (to appear). MR 1184117 (95a:11049)

Additional Information:

Reviewer(s):
Audrey Terras

Review Information:
Journal: Bull. Amer. Math. Soc. 29 (1993), 144-149.
DOI: 10.1090/S0273-0979-1993-00408-7
PII: S 0273-0979(1993)00408-7




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