31 citations · 47 across the 16 of their papers we have counts for
20 papers
Canonical Polynomial Sequences: Inverse Pairs
Philip Feinsilver
For , analytic in a neighborhood of , , , there is an associated sequence of polynomials, \textsl{canonical polynomials}, that is a gener…
Spectral Theorem approach to the Characteristic Function of Quantum Observables
Andreas Boukas, Philip Feinsilver
Using the spectral theorem we compute the Quantum Fourier Transform (or Vacuum Characteristic Function) of an observable defined as a self-adjoint…
Quantum Observables on a Completely Simple Semigroup
Philip Feinsilver
Completely simple semigroups arise as the support of limiting measures of random walks on semigroups. Such a limiting measure is supported on the kernel of the semigroup. Forming t…
Zeons, Permanents, the Johnson scheme, and Generalized Derangements
Philip Feinsilver, John McSorley
Starting with the zero-square "zeon algebra" the connection with permanents is shown. Permanents of sub-matrices of a linear combination of the identity matrix and all-ones matrix…
Krawtchouk-Griffiths Systems II: As Bernoulli Systems
Philip Feinsilver
We call Krawtchouk-Griffiths systems, KG-systems, systems of multivariate polynomials orthogonal with respect to corresponding multinomial distributions. The original Krawtchouk po…
Krawtchouk-Griffiths Systems I: Matrix Approach
Philip Feinsilver
We call Krawtchouk-Griffiths systems, or KG-systems, systems of multivariate polynomials orthogonal with respect to corresponding multinomial distributions. The original Krawtchouk…