Quaternion $H$-type group and differential operator $Δ_λ$

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dc.creatorChang, Der-Chen
dc.creatorMarkina, Irina
dc.date2006-10-02
dc.date.accessioned2026-07-07T07:28:36Z
dc.date.available2026-07-07T07:28:36Z
dc.descriptionWe study the relations between the quaternion $H$-type group and the boundary of the unit ball on two dimensional quaternionic space. The orthogonal projection of the space of square integrable functions defined on quaternion $H$-type group into its subspace of boundary values of $q$-holomorphic functions is consider. The precise form of Cauchy-Szego kernel and the orthogonal projection operator is obtained. The fundamental solution for the operator $Δ_λ$ is found.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0610074
dc.identifierhttp://arxiv.org/abs/math/0610074
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117791
dc.subjectAnalysis of PDEs
dc.subjectComplex Variables
dc.subjectDifferential Geometry
dc.subject35H20, 42B30
dc.titleQuaternion $H$-type group and differential operator $Δ_λ$
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