26 citations · 35 across the 10 of their papers we have counts for
12 papers
A Generalization of Gleason's Frame Function for Quantum Measurement
John J. Benedetto, Paul J. Koprowski, John S. Nolan
The goal is to extend Gleason's notion of a frame function, which is essential in his fundamental theorem in quantum measurement, to a more general function acting on 1-tight, so-c…
Reactive Sensing and Multiplicative Frame Super-resolution
John J. Benedetto, Michael R. Dellomo
The problem is to evaluate the behavior of an object when primary sources of information about the object become unavailable, so that any information must be obtained from the inte…
Frames of translates for number-theoretic groups
John J. Benedetto, Robert L. Benedetto
Frames of translates of f in L^2(G) are characterized in terms of the zero-set of the so-called spectral symbol of f in the setting of a locally compact abelian group G having a co…
Frame multiplication theory and a vector-valued DFT and ambiguity function
Travis D. Andrews, John J. Benedetto, Jeffrey J. Donatelli
Vector-valued discrete Fourier transforms (DFTs) and ambiguity functions are defined. The motivation for the definitions is to provide realistic modeling of multi-sensor environmen…
Super-resolution by means of Beurling minimal extrapolation
John J. Benedetto, Weilin Li
Let be the space of complex bounded Radon measures defined on the -dimensional torus group , equipped with the total va…
Generalized Fourier frames in terms of balayage
Enrico Au-Yeung, John J. Benedetto
Based on Beurling's theory of balayage, we develop the theory of non-uniform sampling in the context of the theory of frames for the settings of the Short Time Fourier Transform an…