60 citations · 414 across the 46 of their papers we have counts for
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Properties and Decompositions of Domains for Powers of the Jacobi Differential Operator
Dale Frymark, Constanze Liaw
We set out to build a framework for self-adjoint extension theory for powers of the Jacobi differential operator that does not make use of classical deficiency elements. Instead, w…
Boundary Conditions associated with the General Left-Definite Theory for Differential Operators
Matthew Fleeman, Dale Frymark, Constanze Liaw
In the early 2000's, Littlejohn and Wellman developed a general left-definite theory for certain self-adjoint operators by fully determining their domains and spectral properties.…
Moment Representations of Type I X2 Exceptional Laguerre Polynomials
Constanze Liaw, Jessica Stewart Kelly, John Osborn
The exceptional orthogonal polynomials (XOP) form a complete set of eigenpolynomials to a differential equation. Despite being complete, the XOP set does not contain polynomi…
Moment Representations of Exceptional Orthogonal Polynomials
Constanze Liaw, Jessica Stewart Kelly, John Osborn
We obtain representations of exceptional orthogonal polynomials through determinants of matrices that have certain adjusted moments as entries. We start out directly from the…
Zeros of optimal polynomial approximants: Jacobi matrices and Jentzsch-type theorems
Catherine Bénéteau, Dmitry Khavinson, Constanze Liaw +2
We study the structure of the zeros of optimal polynomial approximants to reciprocals of functions in Hilbert spaces of analytic functions in the unit disk. In many instances, we f…
Moment Representations of the Exceptional -Laguerre Orthogonal Polynomials
Constanze Liaw, John Osborn
Exceptional orthogonal Laguerre polynomials can be viewed as an extension of the classical Laguerre polynomials per excluding polynomials of certain order(s) from being eigenfuncti…
Spectral analysis for the exceptional -Jacobi equation
Constanze Liaw, Lance Littlejohn, Jessica Stewart
We provide the mathematical foundation for the -Jacobi spectral theory. Namely, we present a self-adjoint operator associated to the differential expression with the exception…
A Spectral Study of the Second-Order Exceptional -Jacobi Differential Expression and a Related Non-classical Jacobi Differential Expression
Constanze Liaw, Lance L. Littlejohn, Jessica Stewart +1
The exceptional -Jacobi differential expression is a second-order ordinary differential expression with rational coefficients; it was discovered by Gómez-Ullate, Kamran and…
Cyclicity in Dirichlet-type spaces and extremal polynomials
Catherine Bénéteau, Alberto Condori, Constanze Liaw +2
For functions in Dirichlet-type spaces we study how to determine constructively optimal polynomials that minimize among all polynomials of degree at mos…
Regularizations of general singular integral operators
Constanze Liaw, Sergei Treil
In the theory of singular integral operators significant effort is often required to rigorously define such an operator. This is due to the fact that the kernels of such operators…