25 citations · 98 across the 44 of their papers we have counts for
4 papers · 1 filter
Geometric Space-Frequency Analysis on Manifolds
Hans G. Feichtinger, Hartmut Führ, Isaac Z. Pesenson
This paper gives a survey of methods for the construction of space-frequency concentrated frames on Riemannian manifolds with bounded curvature, and the applications of these frame…
Estimates of Kolmogorov, Gelfand and linear - widths on Compact Riemannian Manifolds
Isaac Z. Pesenson
We determine lower and exact estimates of Kolmogorov, Gelfand and linear -widths of unit balls in Sobolev norms in -spaces on compact Riemannian manifolds. As it was show…
Approximations in -norms and Besov spaces on compact manifolds
Isaac Z. Pesenson
The objective of the paper is to describe Besov spaces on general compact Riemannian manifolds in terms of the best approximation by eigenfunctions of elliptic differential operato…
Sampling solutions of Schrödinger equations on combinatorial graphs
Isaac Z. Pesenson
We consider functions on a graph whose evolution in time is governed by a Schrödinger type equation with a combinatorial Laplace operator on the right side.…