1 citations · 1 across the 3 of their papers we have counts for
4 papers
A Reconstruction Method for Band-Limited Signals on the Hyperbolic Plane
Hans Feichtinger, Isaac Pesenson
A notion of band limited functions is considered in the case of the hyperbolic plane in its Poincare upper half-plane realization. The concept of band-limitedness is b…
A Discrete Helgason-Fourier transform for Sobolev and Besov functions on noncompact symmetric spaces
Isaac Pesenson
Let be a Paley-Wiener function in the space , where is a symmetric space of noncompact type. It is shown that by using the values of on a sufficiently dense a…
Frames for spaces of Paley-Wiener functions on Riemannian manifolds
Isaac Pesenson
It is shown that Paley-Wiener functions on Riemannian manifolds of bounded geometry can be reconstructed in a stable way from some countable sets of their inner products with certa…
Variational splines on Riemannian manifolds with applications to integral geometry
Isaac Pesenson
We extend the classical theory of variational interpolating splines to the case of compact Riemannian manifolds. Our consideration includes in particular such problems as interpola…