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- W154719345 abstract "Let G be a connected Lie group of polynomial growth. We consider m-th order subelliptic dierential operators H on G, the semigroups St = e tH and the corresponding heat kernels Kt. For a large class of H with m > 4 we demonstrate equivalence between the existence of Gaussian bounds on Kt, with good large t behaviour, and the existence of functions on G. By results of (14), such cuto functions exist if and only if G is the local direct product of a compact Lie group and a nilpotent Lie group." @default.
- W154719345 created "2016-06-24" @default.
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- W154719345 date "2001-01-01" @default.
- W154719345 modified "2023-09-24" @default.
- W154719345 title "Higher order operators and Gaussian bounds on Lie groups of polynomial growth" @default.
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