25 citations · 98 across the 44 of their papers we have counts for
16 papers · 1 filter
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.
Sampling, Filtering and Sparse Approximations on Combinatorial Graphs
Isaac Z. Pesenson, Meyer Z. Pesenson
In this paper we address sampling and approximation of functions on combinatorial graphs. We develop filtering on graphs by using Schrödinger's group of operators generated by comb…
Variational Splines and Paley--Wiener Spaces on Combinatorial Graphs
Isaac Pesenson
Notions of interpolating variational splines and Paley-Wiener spaces are introduced on a combinatorial graph G. Both of these definitions explore existence of a combinatorial Lapla…
Sampling in paley-wiener spaces on combinatorial graphs
Isaac Pesenson
A notion of Paley-Wiener spaces is introduced on combinatorial graphs. It is shown that functions from some of these spaces are uniquely determined by their values on some sets of…
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…