Higher order operators and Gaussian bounds  on Lie groups of polynomial growth

Dungey, Nicholas

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Higher order operators and Gaussian bounds on Lie groups of polynomial growth

Date

2001

Authors

Dungey, Nicholas

Publisher

Theta Foundation

Abstract

Let G be a connected Lie group of polynomial growth. We consider m-th order subelliptic differential 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 t

Keywords

Keywords: Heat kernel; Higher-order differential operators; Lie group

URI

http://hdl.handle.net/1885/93329

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Open Access Research

Source

Journal of Operator Theory

Type

Journal article

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Higher order operators and Gaussian bounds on Lie groups of polynomial growth

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