71 citations · 326 across the 43 of their papers we have counts for
Showing 2007 · math-phShow all
3 papers · 2 filters
math-ph2007★ 9 cited
The Measure of a Measurement
Palle E. T. Jorgensen
While finite non-commutative operator systems lie at the foundation of quantum measurement, they are also tools for understanding geometric iterations as used in the theory of iter…
math-ph2007★ 11 cited
Harmonic analysis of iterated function systems with overlap
Palle E. T. Jorgensen, Keri A. Kornelson, Karen L. Shuman
In this paper we extend previous work on IFSs without overlap. Our method involves systems of operators generalizing the more familiar Cuntz relations from operator algebra theory,…
math-ph2007★ 33 cited
Entropy Encoding, Hilbert Space and Karhunen-Loeve Transforms
Palle E. T. Jorgensen, Myung-Sin Song
By introducing Hilbert space and operators, we show how probabilities, approximations and entropy encoding from signal and image processing allow precise formulas and quantitative…