74 citations · 144 across the 14 of their papers we have counts for
16 papers
-widths and Approximation theory on Compact Riemannian Manifolds
Isaac Pesenson, Daryl Geller
We determine upper asymptotic estimates of Kolmogorov and linear -widths of unit balls in Sobolev and Besov norms in -spaces on compact Riemannian manifolds. The proofs r…
Cubature formulas and discrete fourier transform on compact manifolds
Isaac Z. Pesenson, Daryl Geller
The goal of the paper is to describe essentially optimal cubature formulas on compact Riemannian manifolds which are exact on spaces of band- limited functions.
Kolmogorov and Linear Widths of Balls in Sobolev and Besov Norms on Compact Manifolds
Daryl Geller, Isaac Pesenson
We determine upper asymptotic estimates of Kolmogorov and linear -widths of unit balls in Sobolev and Besov norms in -spaces on smooth compact Riemannian manifolds. For c…
Adaptive Nonparametric Regression on Spin Fiber Bundles
Claudio Durastanti, Daryl Geller, Domenico Marinucci
The construction of adaptive nonparametric procedures by means of wavelet thresholding techniques is now a classical topic in modern mathematical statistics. In this paper, we exte…
Mixed Needlets
Daryl Geller, Domenico Marinucci
The construction of needlet-type wavelets on sections of the spin line bundles over the sphere has been recently addressed in Geller and Marinucci (2008), and Geller et al. (2008,2…
Introducing Mexican needlets for CMB analysis: Issues for practical applications and comparison with standard needlets
S. Scodeller, O. Rudjord, F. K. Hansen +3
Over the last few years, needlets have a emerged as a useful tool for the analysis of Cosmic Microwave Background (CMB) data. Our aim in this paper is first to introduce in the CMB…