74 citations · 98 across the 8 of their papers we have counts for
7 papers · 1 filter
Nearly tight frames of spin wavelets on the sphere
D. Geller, A. Mayeli
We show that the spin wavelets on the sphere , which were constructed by the first author and Marinucci in an earlier article, can be chosen so as to form a nearly tight frame…
Gabor fields and wavelet sets for the Heisenberg group
Bradley Currey, Azita Mayeli
We study singly-generated wavelet systems on that are naturally associated with rank-one wavelet systems on the Heisenberg group . We prove a necessary condition on t…
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(…
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…
Besov Spaces and Frames on Compact Manifolds
Daryl Geller, Azita Mayeli
We show that one can characterize the Besov spaces on a smooth compact oriented Riemannian manifold, for the full range of indices, through a knowledge of the size of frame coeffic…
Mexican Hat Wavelet on the Heisenberg Group
Azita Mayeli
In this article wavelets (admissible vectors) on the Heisenberg group are studied from the point of view of Calderon's formula. Further we shall show that for the class of Schwartz…