Constanze Liaw

CYCLICITY IN DIRICHLET-TYPE SPACES AND EXTREMAL POLYNOMIALS

For functions f in Dirichlet-type spaces

Cyclicity in rank-1 perturbation problems

{D_\alpha }

The spectral analysis of three families of exceptional Laguerre polynomials

, we study how to determine constructively optimal polynomials pn that minimize

A spectral study of the second-order exceptional X1-Jacobi differential expression and a related non-classical Jacobi differential expression

{\left\| {pf - 1} \right\|_\alpha }

Orthogonal polynomials, reproducing kernels, and zeros of optimal approximants

among all polynomials p of degree at most n. We then obtain sharp estimates for the rate of decay of