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

Description

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

dc.contributor.author	Dungey, Nicholas
dc.date.accessioned	2015-12-13T23:27:42Z
dc.date.available	2015-12-13T23:27:42Z
dc.identifier.issn	0379-4024
dc.identifier.uri	http://hdl.handle.net/1885/93329
dc.description.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
dc.publisher	Theta Foundation
dc.source	Journal of Operator Theory
dc.subject	Keywords: Heat kernel; Higher-order differential operators; Lie group
dc.title	Higher order operators and Gaussian bounds on Lie groups of polynomial growth
dc.type	Journal article
local.description.notes	Imported from ARIES
local.description.refereed	Yes
local.identifier.citationvolume	46
dc.date.issued	2001
local.identifier.absfor	010105 - Group Theory and Generalisations
local.identifier.ariespublication	MigratedxPub26751
local.type.status	Published Version
local.contributor.affiliation	Dungey, Nicholas, College of Physical and Mathematical Sciences, ANU
local.bibliographicCitation.startpage	45
local.bibliographicCitation.lastpage	61
dc.date.updated	2015-12-12T09:51:19Z
local.identifier.scopusID	2-s2.0-0041077545
Collections	ANU Research Publications

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