Bulletin of the American Mathematical Society

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Book Information

Author(s): Klaus Kirsten
Title: Spectral functions in mathematics and physics
Additional book information: Chapman & Hall/CRC, Boca Raton, FL, 2002, xiv+382, US$99.95, 1-58488-259-X

Author(s): Peter B. Gilkey
Title: Asymptotic formulae in spectral geometry
Additional book information: Studies in Advanced Mathematics, vol. 43, Chapman & Hall/CRC, Boca Raton, FL, 2004, viii+ 304, US$99.95, 1-58488-358-8

1.: M. F. Atiyah, R. Bott, and V. K. Patodi, On the heat equation and the index theorem, Invent. Math. 19 (1973), 279-330. MR 0650828 (58:31287)
2.: P. B. Gilkey, The Index Theorem and the Heat Equation (Math. Lecture Series 4), Publish or Perish, Boston, MA, 1974. MR 0458504 (56:16704)
3.: P. B. Gilkey, Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem (Math. Lecture Series 11), Publish or Perish, Wilmington, DE, 1984; 2nd edition (Studies Adv. Math. 16), CRC Press, Boca Raton, FL, 1995. MR 1396308 (98b:58156)
4.: M. Kac, Can one hear the shape of a drum?, Amer. Math. Monthly 73 (1966), Part II, 1-23. MR 0201237 (34:1121)
5.: D. M. McAvity, Surface energy from heat content asymptotics, J. Phys. A 26 (1993), 823-830. MR 1211078 (94c:58200)

Reviewer(s):
S. A. Fulling
Affiliation: Texas A&M University
Email: fulling@math.tamu.edu

MSC (2000): Primary 58J35
DOI: 10.1090/S0273-0979-06-01089-5
PII: S 0273-0979(06)01089-5
Posted: April 18, 2006
Copyright of article: Copyright 2006, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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

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