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Heat Equation Asymptotics of Elliptic Operators with Non-scalar Leading Symbol

✍ Scribed by Thomas P. Branson; Peter B. Gilkey; Antoni Pierzchalski

Publisher
John Wiley and Sons
Year
1994
Tongue
English
Weight
404 KB
Volume
166
Category
Article
ISSN
0025-584X

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✦ Synopsis

Let A4 be a compact smoot Riemannian manifold without boundary and let D = adoh, + bald, -E on the space of smooth sections of the cotangent bundle where a and b are positive constants and where E is an endomorphism. We use functorial methods and the pseudo-differential operator calculus to compute the quadratic term n,(D) in the asymptotic expansion of the heat equation trace.

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