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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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Book Information:

Author: 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.

References [Enhancements On Off] (What's this?)

  • [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
  • Isaac Chavel, Riemannian geometry, 2nd ed., Cambridge Studies in Advanced Mathematics, vol. 98, Cambridge University Press, Cambridge, 2006. A modern introduction. 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:

Reviewer: Burton Randol
Journal: Bull. Amer. Math. Soc. 18 (1988), 191-193
American Mathematical Society