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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

The Minakshisundaram-Pleijel coefficients for the vector-valued heat kernel on compact locally symmetric spaces of negative curvature


Author: Roberto J. Miatello
Journal: Trans. Amer. Math. Soc. 260 (1980), 1-33
MSC: Primary 58G11; Secondary 10D40, 22E40, 43A85, 53C35, 58G25
Erratum: Trans. Amer. Math. Soc. 264 (1981), 587.
MathSciNet review: 570777
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Abstract: We use harmonic analysis on semisimple Lie groups to determine the Minakshisundaram-Pleijel asymptotic expansion for the trace of the heat kernel on natural vector bundles over compact, locally symmetric spaces of strictly negative curvature.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1980-0570777-5
PII: S 0002-9947(1980)0570777-5
Article copyright: © Copyright 1980 American Mathematical Society