Bulletin of the American Mathematical Society

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Book Information

Author(s): Pierre H. Bérard
Title: Spectral geometry: Direct and inverse problems
Additional book information: with an appendix by G. Besson. Lecture Notes in Mathematics, Vol. 1207, Springer-Verlag, Berlin, Heidelberg, New York, London, Paris, Tokyo, 1986, xiii+272 pp., $23.40. ISBN 3-540-16788-9

[CDV] Y. Colin de Verdière, Spectre du Laplacien et longueurs des géodésiques périodiques. I, II, Compositio Math. 27 (1973), 83-106; 159-184. MR 348798

[CH] I. Chavel, Eigenvalues in Riemannian geometry, Academic Press, New York, 1984. MR 2229062

[D] J. Delsarte, Sur le gitter Fuchsien, C. R. Acad. Sci. Paris 241 (1942), 147-149. MR 7769

[M-P] S. Minakshisundaram and øA. Pleijel, Some properties of the eigenfunctions of the Laplace operator on Riemannian manifolds, Canad. J. Math. 1 (1949), 242-256. MR 31145

[MK] H. P. McKean, Selberg's trace formula as applied to a compact Riemann surface, Comm. Pure Appl. Math. 25 (1972), 225-246. MR 473166

[S] A. Selberg, Harmonic analysis and discontinuous groups in weakly symmetric spaces with applications to Dirichlet series, J. Indian Math. Soc. 20 (1956), 47-87. MR 88511

Review Information:
Journal: Bull. Amer. Math. Soc. 18 (1988), 191-193.
DOI: 10.1090/S0273-0979-1988-15646-7
PII: S 0273-0979(1988)15646-7

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

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