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Small-Time Asymptotics of Hermite Functions on Compact Symmetric Spaces

✍ Scribed by Jeffrey J Mitchell

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
137 KB
Volume
263
Category
Article
ISSN
0022-247X

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✦ Synopsis

Let M be a compact, connected, oriented Riemannian manifold. Hermite functions on M are defined in terms of the heat kernel, and the existence of an asymptotic expansion of these functions in powers of √ t is established for small time. In the case where M is a compact symmetric space, the asymptotic expansion of Hermite functions associated to "symmetrized" derivatives is shown to be greatly reduced, leaving an expansion in powers of t only.

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