11 papers
Perturbations of Christoffel-Darboux kernels. I: detection of outliers
Bernhard Beckermann, Mihai Putinar, Edward B. Saff +1
Two central objects in constructive approximation, the Christoffel-Darboux kernel and the Christoffel function, are encoding ample information about the associated moment data and…
Relative Asymptotics of Orthogonal Polynomials for Perturbed Measures
Edward B. Saff, Nikos Stylianopoulos
In the context of orthogonal polynomials in the plane we introduce the notion of a polynomially small (PS) perturbation of a measure. In such a case we establish relative asymptoti…
Bergman orthogonal polynomials and the Grunsky matrix
Bernhard Beckermann, Nikos Stylianopoulos
By exploiting a link between Bergman orthogonal polynomials and the Grunsky matrix, probably first observed by K{ü}hnau in 1985, we improve some recent results on strong asymptotic…
On the zeros of asymptotically extremal polynomial sequences in the plane
Edward B. Saff, Nikos Stylianopoulos
Let be a compact set of positive logarithmic capacity in the complex plane and let be a sequence of asymptotically extremal monic polynomials for …
Orthogonal polynomials for area-type measures and image recovery
E. B. Saff, H. Stahl, N. Stylianopoulos +1
Let be a finite union of disjoint and bounded Jordan domains in the complex plane, let be a compact subset of and consider the set obtained from …
Asymptotics for Hessenberg matrices for the Bergman shift operator on Jordan regions
Edward B. Saff, Nikos Stylianopoulos
Let G be a bounded Jordan domain in the complex plane and consider the infinite upper Hessenberg matrix M associated with the Bergman orthogonal polynomials of G. This matrix repre…