Pick interpolation theorem

GPTKB entity

Statements (14)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:concerns gptkb:unit_disk
analytic functions
interpolation problem
gptkbp:field complex analysis
https://www.w3.org/2000/01/rdf-schema#label Pick interpolation theorem
gptkbp:namedAfter gptkb:Georg_Pick
gptkbp:relatedTo gptkb:Nevanlinna–Pick_interpolation
gptkb:Schur_algorithm
gptkb:Carathéodory_interpolation_theorem
gptkbp:state Given n points in the unit disk and n complex values, there exists an analytic function mapping the disk to itself interpolating the values if and only if a certain matrix is positive semidefinite.
gptkbp:yearProposed 1916
gptkbp:bfsParent gptkb:Georg_Alexander_Pick
gptkbp:bfsLayer 7