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Asymptotic distribution of functions on compact homogeneous spaces

✍ Scribed by M. Blümlinger; M. Drmota; R. F. Tichy


Book ID
112609419
Publisher
Springer
Year
1988
Tongue
English
Weight
776 KB
Volume
152
Category
Article
ISSN
0373-3114

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Small-Time Asymptotics of Hermite Functi
✍ Jeffrey J Mitchell 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 137 KB

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 asymptoti