Book Review
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MathSciNet review:
1567789
Full text of review:
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Book Information:
Authors:
Richard Beals and
Peter Greiner
Title:
Calculus on Heisenberg manifolds
Additional book information:
Annals of Mathematics Studies, vol. 119, Princeton University Press, Princeton, N.J., 1988, x+194 pp., $52.50 (cloth), $20.00 (paper). ISBN 0-691-08501-3.
Richard Beals and Peter C. Greiner, Pseudodifferential operators associated to hyperplane bundles, Rend. Sem. Mat. Univ. Politec. Torino Special Issue (1983), 7–40 (1984). Conference on linear partial and pseudodifferential operators (Torino, 1982). MR 745972
Thomas E. Cummins, A pseudodifferential calculus associated to $3$-step nilpotent groups, Comm. Partial Differential Equations 14 (1989), no. 1, 129–171. MR 973272, DOI 10.1080/03605308908820593
H. P. McKean Jr. and I. M. Singer, Curvature and the eigenvalues of the Laplacian, J. Differential Geometry 1 (1967), no. 1, 43–69. MR 217739
S. Minakshisundaram and Å. Pleijel, Some properties of the eigenfunctions of the Laplace-operator on Riemannian manifolds, Canad. J. Math. 1 (1949), 242–256. MR 31145, DOI 10.4153/cjm-1949-021-5
- [BG] R. Beals and P. C. Greiner, Pseudodifferential operators associated to hyperplane bundles, Rend. Sem. Mat. Torino (1983), 7-40. MR 0745972
- [C] T. E. Cummins, A pseudodifferential calculus associated to 3-step nilpotent groups, Comm. Partial Differential Equations 14 (1989), 129-171. MR 973272
- [MS] H. P. McKean and I. M. Singer, Curvature and the eigenvalues of the Laplacian, J. Differential Geom. 1 (1967), 43-69. MR 217739
- [MP] S. Minakshisundaram and A. Pleijel, Some properties of the eigenfunctions of the Laplace operator on Riemannian manifolds, Canad. J. Math. 1 (1949), 242-256. MR 31145
Review Information:
Reviewer:
Nancy K. Stanton
Journal:
Bull. Amer. Math. Soc.
21 (1989), 177-179
DOI:
https://doi.org/10.1090/S0273-0979-1989-15808-4