Julia sets of orthogonal polynomials

Jacob Stordal Christiansen, Christian Christian Henriksen, Henrik Laurberg Pedersen, Carsten Lunde Petersen

Forskningsoutput: TidskriftsbidragArtikel i vetenskaplig tidskriftPeer review

5 Citeringar (SciVal)

Sammanfattning

For a probability measure with compact and non-polar support in the complex plane we relate dynamical properties of the associated sequence of orthogonal polynomials {P n } to properties of the support. More precisely we relate the Julia set of P n to the outer boundary of the support, the filled Julia set to the polynomial convex hull K of the support, and the Green’s function associated with P n to the Green’s function for the complement of K.
Originalspråkengelska
Sidor (från-till)401–413
Antal sidor13
TidskriftPotential Analysis
Volym50
Utgåva3
Tidigt onlinedatum2018
DOI
StatusPublished - 2019

Ämnesklassifikation (UKÄ)

  • Matematisk analys

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