Continuous Wavelets and Frames on Stratified Lie Groups I

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dc.creatorGeller, Daryl
dc.creatorMayeli, Azita
dc.date2006-02-09
dc.date2006-05-09
dc.date.accessioned2026-07-07T07:03:16Z
dc.date.available2026-07-07T07:03:16Z
dc.descriptionLet G be a stratified Lie group and L be the sub-Laplacian on G. Let 0 \neq f\in S(R^+). We show that Lf(L)δ, the distribution kernel of the operator Lf(L), is an admissible function on G. We also show that, if ξf(ξ) satisfies Daubechies' criterion, then L f(L)δgenerates a frame for any sufficiently fine lattice subgroup of G.
dc.description30 pages
dc.identifierhttps://arxiv.org/abs/math/0602201
dc.identifierhttp://arxiv.org/abs/math/0602201
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108912
dc.subjectFunctional Analysis
dc.subjectSpectral Theory
dc.titleContinuous Wavelets and Frames on Stratified Lie Groups I
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