Interpolation by tamed entire functions

In this note it is constructed an entire function that interpolates a prescribed pair of sequences in the complex plane, and with the property that its values are controlled in some sense on a given compact subset by those that it takes on finitely many prescribed nodes on the boundary.

Detalles Bibliográficos
Autor: Bernal González, Luis
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2006
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/62029
Acceso en línea:http://hdl.handle.net/11441/62029
Access Level:acceso abierto
Palabra clave:Entire function
Interpolation
Strictly extremal point
Boundedness
Descripción
Sumario:In this note it is constructed an entire function that interpolates a prescribed pair of sequences in the complex plane, and with the property that its values are controlled in some sense on a given compact subset by those that it takes on finitely many prescribed nodes on the boundary.