16 citations · 30 across the 6 of their papers we have counts for
7 papers
On partial isometries with circular numerical range
Elias Wegert, Ilya M. Spitkovsky
In their LAMA'2016 paper Gau, Wang and Wu conjectured that a partial isometry acting on cannot have a circular numerical range with a non-zero center, and proved…
The Gau-Wang-Wu conjecture on partial isometries holds in the 5-by-5 case
Ilya M. Spitkovsky, Ibrahim Suleiman, Elias Wegert
Gau, Wang and Wu in their LAMA'2016 paper conjectured (and proved for ) that an -by- partial isometry cannot have a circular numerical range with a non-zero center.…
Crouzeix's Conjecture and related problems
Kelly Bickel, Pamela Gorkin, Anne Greenbaum +3
In this paper, we establish several results related to Crouzeix's conjecture. We show that the conjecture holds for contractions with eigenvalues that are sufficiently well-separat…
Finite Blaschke products with prescribed critical points, Stieltjes polynomials, and moment problems
Gunter Semmler, Elias Wegert
The determination of a finite Blaschke product from its critical points is a well-known problem with interrelations to other topics. Though existence and uniqueness of solutions ar…
Rigidity of Circle Packings with Crosscuts
David Krieg, Elias Wegert
Circle packings with specified patterns of tangencies form a discrete counterpart of analytic functions. In this paper we study univalent packings (with a combinatorial closed disk…
Phase Plots of Complex Functions: a Journey in Illustration
Elias Wegert
We propose to visualize complex (meromorphic) functions by their phase . Color--coding the points on the unit circle converts the function to an image (the ph…