Interpolating and sampling sequences in finite Riemann surfaces

We provide a description of the interpolating and sampling sequences on a space of holomorphic functions on a finite Riemann surface, where a uniform growth restriction is imposed on the holomorphic functions.

Bibliographic Details
Author: Ortega Cerdà, Joaquim
Format: article
Status:Versión aceptada para publicación
Publication Date:2008
Country:España
Institution:Universidad de Barcelona
Repository:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/49004
Online Access:https://hdl.handle.net/2445/49004
Access Level:Open access
Keyword:Superfícies de Riemann
Funcions de variables complexes
Riemann surfaces
Functions of complex variables
Description
Summary:We provide a description of the interpolating and sampling sequences on a space of holomorphic functions on a finite Riemann surface, where a uniform growth restriction is imposed on the holomorphic functions.