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- W3098179919 abstract "We consider Laplacians acting on sections of homogeneous vector bundles over symmetric spaces. By using an integral representation of the heat semi-group we find a formal solution for the heat kernel diagonal that gives a generating function for the whole sequence of heat invariants. We show explicitly that the obtained result correctly reproduces the first non-trivial heat kernel coefficient as well as the exact heat kernel diagonals on two-dimensional sphere $S^2$ and the hyperbolic plane $H^2$. We argue that the obtained formal solution correctly reproduces the exact heat kernel diagonal after a suitable regularization and analytical continuation." @default.
- W3098179919 created "2020-11-23" @default.
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- W3098179919 date "2008-09-26" @default.
- W3098179919 modified "2023-10-16" @default.
- W3098179919 title "Heat Kernel on Homogeneous Bundles over Symmetric Spaces" @default.
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- W3098179919 doi "https://doi.org/10.1007/s00220-008-0639-6" @default.
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