5 citations · 8 across the 5 of their papers we have counts for
5 papers
An Application of Value Distribution Theory to Schroedinger Operators with Absolutely Continuous Spectrum
Charles Fulton, David Pearson, Steven Pruess
We use the "Value Distribution" theory developed by Pearson and Breimesser to obtain a sequence of functions in the eigenvalue parameter for some Sturm-Liouville problems which hav…
Algorithms for estimating spectral density functions for periodic potentials on the half line
Charles Fulton, David Pearson, Steven Pruess
For Hill's equation on [0,infinity) we prove new characterizations of the spectral function rho(lambda) and the spectral density function f(lambda) based on analysis involving a co…
Estimating Spectral Density Functions for Sturm-Liouville problems with two singular endpoints
Charles Fulton, David Pearson, Steven Pruess
In this paper we consider the Sturm-Liouville equation -y"+qy = lambda*y on the half line (0,infinity) under the assumptions that x=0 is a regular singular point and nonoscillatory…
Mark Krein's Method of Directing Functionals and Singular Potentials
Charles Fulton, Heinz Langer, Annemarie Luger
It is shown that M. Krein's method of directing functionals can be used to prove the existence of a scalar spectral measure for certain Sturm-Liouville equations with two singular…
Using a computer algebra system to simplify expressions for Titchmarsh-Weyl m-functions associated with the Hydrogen Atom on the half line
Cecilia Knoll, Charles Fulton
In this paper we give simplified formulas for certain polynomials which arise in some new Titchmarsh-Weyl m-functions for the radial part of the separated Hydrogen atom on the half…