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The semigroup and the inverse of the Laplacian on the Heisenberg group

dc.creatorDasgupta, Aparajita
dc.creatorWong, M.W.
dc.date2010-10-01
dc.identifierhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1393
dc.identifier10.4067/S0719-06462010000300006
dc.descriptionBy decomposing the Laplacian on the Heisenberg group into a family of parametrized partial differential operators Lτ,τ ∈ ℝ \ {0}, and using parametrized Fourier-Wigner transforms, we give formulas and estimates for the strongly continuous one-parameter semigroup generated by Lτ, and the inverse of Lτ. Using these formulas and estimates, we obtain Sobolev estimates for the one-parameter semigroup and the inverse of the Laplacian.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1393/1248
dc.sourceCUBO, A Mathematical Journal; Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal; 83–97en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 12 Núm. 3 (2010): CUBO, A Mathematical Journal; 83–97es-ES
dc.source0719-0646
dc.source0716-7776
dc.subjectHeisenberg groupen-US
dc.subjectLaplacianen-US
dc.subjectparametrized partial differential operatorsen-US
dc.subjectHermite functionsen-US
dc.subjectFourier-Wigner transformsen-US
dc.subjectheat equationen-US
dc.subjectone parameter semigroupen-US
dc.subjectinverse of Laplacianen-US
dc.subjectSobolev spacesen-US
dc.titleThe semigroup and the inverse of the Laplacian on the Heisenberg groupen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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