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dc.contributor.authorSeguin, Carolineen
dc.date2011-09-29 21:07:52.177
dc.date2011-10-07 16:12:53.2
dc.date2011-10-08 01:32:32.896
dc.date.accessioned2011-10-11T15:24:18Z
dc.date.available2011-10-11T15:24:18Z
dc.date.issued2011-10-11
dc.identifier.urihttp://hdl.handle.net/1974/6834
dc.descriptionThesis (Master, Mathematics & Statistics) -- Queen's University, 2011-10-08 01:32:32.896en
dc.description.abstractThis thesis suggests an approach to compute the short-time behaviour of the hypoelliptic heat kernel corresponding to sub-Riemannian structures on unimodular Lie groups of type I, without previously holding a closed form expression for this heat kernel. Our work relies on the use of classical non-commutative harmonic analysis tools, namely the Generalized Fourier Transform and its inverse, combined with the Trotter product formula from the theory of perturbation of semigroups. We illustrate our main results by computing, to our knowledge, a first expression in short-time for the hypoelliptic heat kernel on the Engel and the Cartan groups, for which there exist no closed form expression.en
dc.language.isoengen
dc.relation.ispartofseriesCanadian thesesen
dc.rightsThis publication is made available by the authority of the copyright owner solely for the purpose of private study and research and may not be copied or reproduced except as permitted by the copyright laws without written authority from the copyright owner.en
dc.subjectNon-commutative Harmonic Analysisen
dc.subjectHypoelliptic heat kernelen
dc.subjectSub-Riemannian geometryen
dc.titleShort-time asymptotics of heat kernels of hypoelliptic Laplacians on Lie groupsen
dc.typethesisen
dc.description.degreeM.Sc.en
dc.contributor.supervisorMansouri, Abdol-Rezaen
dc.contributor.departmentMathematics and Statisticsen
dc.degree.grantorQueen's University at Kingstonen


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