Book Review
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MathSciNet review:
1567873
Full text of review:
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Book Information:
Author:
Paul Günther
Title:
Huygens' principle and hyperbolic equations
Additional book information:
Perspectives in Mathematics, vol. 5, Academic Press, San Diego, 1988, viii + 847 pp., $69.00. ISBN 0-12-307330-8.
Thomas P. Branson, Group representations arising from Lorentz conformal geometry, J. Funct. Anal. 74 (1987), no. 2, 199–291. MR 904819, DOI 10.1016/0022-1236(87)90025-5
Thomas P. Branson and Gestur Ólafsson, Equipartition of energy for waves in symmetric space, J. Funct. Anal. 97 (1991), no. 2, 403–416. MR 1111189, DOI 10.1016/0022-1236(91)90009-T
J. J. Duistermaat and V. W. Guillemin, The spectrum of positive elliptic operators and periodic bicharacteristics, Invent. Math. 29 (1975), no. 1, 39–79. MR 405514, DOI 10.1007/BF01405172
Charles Fefferman and C. Robin Graham, Conformal invariants, Astérisque Numéro Hors Série (1985), 95–116. The mathematical heritage of Élie Cartan (Lyon, 1984). MR 837196
Peter B. Gilkey, Invariance theory, the heat equation, and the Atiyah-Singer index theorem, Mathematics Lecture Series, vol. 11, Publish or Perish, Inc., Wilmington, DE, 1984. MR 783634
Sigurdur Helgason, Wave equations on homogeneous spaces, Lie group representations, III (College Park, Md., 1982/1983) Lecture Notes in Math., vol. 1077, Springer, Berlin, 1984, pp. 254–287. MR 765556, DOI 10.1007/BFb0072341
Roger Howe, On the role of the Heisenberg group in harmonic analysis, Bull. Amer. Math. Soc. (N.S.) 3 (1980), no. 2, 821–843. MR 578375, DOI 10.1090/S0273-0979-1980-14825-9
Kimimasa Nishiwada, Huygens’ principle for a wave equation and the asymptotic behavior of solutions along geodesics, Hyperbolic equations and related topics (Katata/Kyoto, 1984) Academic Press, Boston, MA, 1986, pp. 257–271. MR 925252
R. T. Seeley, Complex powers of an elliptic operator, Singular Integrals (Proc. Sympos. Pure Math., Chicago, Ill., 1966) Amer. Math. Soc., Providence, R.I., 1967, pp. 288–307. MR 0237943
Irving Ezra Segal, Mathematical cosmology and extragalactic astronomy, Pure and Applied Mathematics, Vol. 68, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1976. MR 0496337
- 1.
- T. Branson, Group representations arising from Lorentz conformal geometry, J. Funct. Anal. 74 (1987), 199-291. MR 0904819
- 2.
- T. Branson and G. 'Olafsson, Equipartition of energy for waves in symmetric space, preprint, 1989. MR 1111189
- 3.
- J. J. Duistermaat and V. Guillemin, Invent. Math. 29 (1975), 39-80. MR 405514
- 4.
- C. Fefferman and C. R. Graham, Conformal invariants, in Elie Cartan et les mathématiques d'aujourd'hui, Astérisque (1985), 95-116. MR 837196
- 5.
- P. Gilkey, Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem, Publish or Perish, Wilmington, Delaware, 1984. MR 783634
- 6.
- S. Helgason, Wave equations on homogeneous spaces, Lecture Notes in Math., vol. 1077, Springer-Verlag, Berlin and New York, 1984, pp. 254-288. MR 765556
- 7.
- R. Howe, On the role of the Heisenberg group in harmonic analysis, Bull. Amer. Math. Soc. 3 (1980), 254-845. MR 578375
- 8.
- K. Nishiwada, Huygens' principle for a wave equation and the asymptotic behavior of solutions along geodesics, in Hyperbolic equations and related topics (S. Mizohata, ed. ), Academic Press, 1986. MR 925252
- 9.
- R. Seeley, Complex powers of an elliptic operator, Proc. Symp. Pure Appl. Math. 10 (1976), 288-307. MR 237943
- 10.
- I. E. Segal, Mathematical Cosmology and Extragalactic Astronomy, Academic Press, New York, 1976. MR 496337
Review Information:
Reviewer:
Bent Ørsted
Journal:
Bull. Amer. Math. Soc.
23 (1990), 235-242
DOI:
https://doi.org/10.1090/S0273-0979-1990-15941-5