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math.FA2008★ 74 cited
Continuous Wavelets on Compact Manifolds
Daryl Geller, Azita Mayeli
Let be a smooth compact oriented Riemannian manifold, and let be the Laplace-Beltrami operator on . Say $0 \neq f \in \mathcal{S}(\RR^+)$, and that $f(…
math.FA2008★ 6 cited
Asymptotic Uncorrelation for Mexican Needlets
Azita Mayeli
We recall Mexican needlets from [5]. We derive an estimate for certain types of Legendre series, which we apply to the statistical properties of Mexican needlets. More precisely, w…
math.FA2008★ 20 cited
Shannon Multiresolution Analysis on the Heisenberg Group
Azita Mayeli
We present a notion of frame multiresolution analysis on the Heisenberg group, abbreviated by FMRA, and study its properties. Using the irreducible representations of this group, w…