25 citations · 98 across the 44 of their papers we have counts for
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A Simple Proposal for Radial 3D Needlets
Claudio Durastanti, Yabebal T. Fantaye, Frode K. Hansen +2
We present here a simple construction of a wavelet system for the three-dimensional ball, which we label \emph{Radial 3D Needlets}. The construction envisages a data collection env…
Sampling, splines and frames on compact manifolds
Isaac Z. Pesenson
Analysis on the unit sphere found many applications in seismology, weather prediction, astrophysics, signal analysis, crystallography, computer vision, computerize…
Bernstein-Nikolskii inequalities and Riesz interpolation formula on compact homogeneous manifolds
Isaac Z. Pesenson
Bernstein-Nikolskii inequalities and Riesz interpolation formula are established for eigenfunctions of Laplace operators and polynomials on compact homogeneous manifolds.
Multiresolution analysis on compact Riemannian manifolds
Isaac Z. Pesenson
In the chapter "Multiresolution Analysis on Compact Riemannian Manifolds" Isaac Pesenson describes multiscale analysis, sampling, interpolation and approximation of functions defin…
-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…
An approach to spectral problems on Riemannian manifolds
Isaac Z. Pesenson
It is shown that eigenvalues of Laplace-Beltrami operators on compact Riemannian manifolds can be determined as limits of eigenvalues of certain finite-dimensional operators in spa…