25 citations · 27 across the 4 of their papers we have counts for
4 papers
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…
Approximation of Besov vectors by Paley-Wiener vectors in Hilbert spaces
Isaac Z. Pesenson, Meyer Z. Pesenson
We develop an approximation theory in Hilbert spaces that generalizes the classical theory of approximation by entire functions of exponential type. The results advance harmonic an…
Cubature formulas on combinatorial graphs
Isaac Z. Pesenson, Meyer Z. Pesenson, Hartmut F"uhr
The goal of the paper is to establish cubature formulas on combinatorial graphs. Two types of cubature formulas are developed. Cubature formulas of the first type are exact on spac…
The Data Big Bang and the Expanding Digital Universe: High-Dimensional, Complex and Massive Data Sets in an Inflationary Epoch
Meyer Z. Pesenson, Isaac Z. Pesenson, Bruce McCollum
Recent and forthcoming advances in instrumentation, and giant new surveys, are creating astronomical data sets that are not amenable to the methods of analysis familiar to astronom…