Book Review

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MathSciNet review: 1567873

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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.

*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

*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

*The spectrum of positive elliptic operators and periodic bicharacteristics*, Invent. Math.

**29**(1975), no. 1, 39–79. MR

**405514**, DOI 10.1007/BF01405172

*Conformal invariants*, Astérisque

**Numéro Hors Série**(1985), 95–116. The mathematical heritage of Élie Cartan (Lyon, 1984). MR

**837196**

*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**

*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

*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

*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**

*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**

*Mathematical cosmology and extragalactic astronomy*, Pure and Applied Mathematics, Vol. 68, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1976. MR

**0496337**

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