25 citations · 98 across the 44 of their papers we have counts for
13 papers · 2 filters
Generalized splines for Radon transform on compact Lie groups with applications to crystallography
Swanhild Bernstein, Svend Ebert, Isaac Z. Pesenson
The Radon transform Rf of functions f on SO(3) has recently been applied extensively in texture analysis, i.e. the analysis of preferred crystallographic orientation. In practice o…
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.
Deconvolution of band limited functions on non-compact symmetric spaces
Isaac Pesenson
It is shown that a band limited function on a non-compact symmetric space can be reconstructed in a stable way from some countable sets of values of its convolution with certain di…
Irregular sampling and the Radon transform
Isaac Pesenson, Eric Grinberg
In image reconstruction there are techniques that use analytical formulae for the Radon transform to recover an image from a continuum of data. In practice, however, one has only d…
Reconstruction of Paley-Wiener functions on the Heisenberg group
Isaac Pesenson
Let be a Riemmanian manifold with bounded geometry. We consider a generalization of Paley-Wiener functions and Lagrangian splines on . An analog of the Paley-Wiener theorem…
Poincaré and plancherel-polya inequalities in harmonic analysis on weighted combinatorial graphs
Hartmut F"uhr, Isaac Z. Pesenson
We prove Poincaré and Plancherel-Polya inequalities for weighted {\ell}p -spaces on weighted graphs in which the constants are explicitly expressed in terms of some geometric chara…