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Book Review
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Book Information
Author(s):
David Gurarie
Title:
Symmetries and Laplacians,RM: 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, \emph{Special functions on finite upper half planes}, Amer. Math. Soc., Providence, RI, 1992 pp.~1--26. MR 1199118
- [2]
- J. Angel, S. Poulos, A. Terras, C. Trimble, and E. Velasquez, Spherical functions and transforms on finite upper half planes\,\RM : chaotic pictures, uncertainty, traces, \RM {preprint}. MR
- [3]
- J. Arthur, \emph{The trace formula and Hecke operators}, Academic Press, Boston, MA, 1989 pp.~11--27. MR 993309
- [4]
- F. Bien, Construction of telephone networks by group representations, Notices Amer. Math. Soc. \textbf{36} (1989), 187--196. MR 972207
- [5]
- E. D. Bolker, \emph{The finite Radon transform}, Amer. Math. Soc., Providence, RI, 1987 pp.~27--50. MR 876312
- [6]
- F. Chung, \emph{Constructing random-like graphs}, Amer. Math. Soc., Providence, RI, 1991 pp.~21--55. MR 1141922
- [7]
- P. Diaconis, Group representations in probability and statistics, Inst. Math. Statistics, Hayward, CA, 1988. MR 964069
- [8]
- D. L. Donoho and P. B. Stark, Uncertainty principles and signal recovery, SIAM J. Applied Math. \textbf{49} (1989), 906--931. MR 997928
- [9]
- J. R. Driscoll and D. M. Healy, Jr., Computing Fourier transforms and convolutions on the \RM 2-sphere, preprint. MR
- [10]
- D. Greenspan, Discrete models, Addison-Wesley, Reading, MA, 1973. MR 366132
- [11]
- M. C. Gutzwiller, Chaos in classical and quantum mechanics, Springer-Verlag, New York, 1990. MR 1077246
- [12]
- S. Helgason, \emph{Lie groups and symmetric spaces}, Benjamin, New York, 1968 pp.~1--71. MR 236325
- [13]
- A Lubotsky, R. Phillips, and P. Sarnak, Ramanujan graphs, Combinatorica \textbf{8} (1988), 261--277. MR 963118
- [14]
- F. J. MacWilliams and N. J. A. Sloane, The theory of error-correcting codes, North Holland, Amsterdam, 1988. MR
- [15]
- A. Mukhopadhyay (ed.), Recent developments in switching theory, Academic Press, New York, 1971. MR 278844
- [16]
- Y. Nambu, \emph{Field theory of Galois fields}, Hilger, Bristol, 1987 pp.~625--636. MR 943162
- [17]
- I. I. Piatetski-Shapiro, \emph{Complex representations of $\roman {GL}(2,K)$ for finite fields $K$}, Amer. Math. Soc., Providence, RI, 1983. MR 696772
- [18]
- A. Terras, Harmonic analysis on symmetric spaces and applications. \RM {I, II}, Springer-Verlag, New York, 1985, 1988. MR 791406
- [19]
- A. Terras, \emph{Fourier analysis on finite groups and applications}. MR
- [20]
- E. Velasquez, \RM {Ph.D. thesis}, Univ. of California, San Diego, 1991. MR
- [21]
- D. I. Wallace, The Selberg trace formula for $\roman {SL}(3,\Bbb Z)\backslash \roman {SL}(3,\Bbb R)/\roman {SO}(3,\Bbb R)$, Trans. Amer. Math. Soc. MR 1184117
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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