4 papers
Boundary zeros of stable polynomials in the unit ball
Dimitrios Vavitsas, Jujie Wu, Konstantinos Zarvalis
We study polynomials in several complex variables that are stable (i.e. they have no zeros in the unit ball ), but vanish on the unit sphere along submanifolds of dim…
Loewner chains with multiple boundary attraction points: A construction via close-to-convex functions
Georgios Nikolaidis, Eleftherios K. Theodosiadis, Konstantinos Zarvalis
In this work we construct multi-slit \textit{chordal Loewner chains} with multiple attraction points on the real line. We build a model domain with the use of close-to-convex funct…
Non-cyclicity and polynomials in Dirichlet-type spaces of the unit ball
Dimitrios Vavitsas, Konstantinos Zarvalis
We give a description of the intersection of the zero set with the unit sphere of a zero-free polynomial in the unit ball of . This description leads to the formulati…
Characterizations of convergence by a given set of angles in simply connected domains
Konstantinos Zarvalis
Let be a simply connected domain and , where is the unit disk, be a corresponding Riemann map. Let be a sequence with no accum…