8 citations · 10 across the 8 of their papers we have counts for
7 papers · 1 filter
On the behavior at infinity of solutions to difference equations in Schroedinger form
Evans M. Harrell, Manwah Lilian Wong
We offer several perspectives on the behavior at infinity of solutions of discrete Schroedinger equations. First we study pairs of discrete Schroedinger equations whose potential f…
A Formula for Inserting Point Masses
Manwah Lilian Wong
Let mu be a probability measure on the unit circle and nu be the measure formed by adding a pure point to mu. We give a formula for the Verblunsky coefficients of the perturbed mea…
Asymptotics of orthogonal polynomials and point perturbation on the unit circle
Manwah Lilian Wong
In the first five sections, we deal with the class of probability measures with asymptotically periodic Verblunsky coefficients of p-type bounded variation. The goal is to investig…
Point mass insertion on the real line and non-exponential perturbation of the recursion coefficients
Manwah Lilian Wong
We present the construction of a probability measure with compact support on R such that adding a discrete pure point results in changes in the recursion coefficients without expon…
Asymptotic Analysis of Orthogonal Polynomials via the Transfer Matrix Approach
Manwah Lilian Wong
In this paper, we present a new method via the transfer matrix approach to obtain asymptotic formulae of orthogonal polynomials with asymptotically identical coefficients of bounde…
Generalized Bounded Variation and Inserting point masses
Manwah Lilian Wong
Let be a probability measure on the unit circle and be the measure formed by adding a pure point to . We give a simple formula for the Verblunsky coefficients of …