Interpolation by hypercyclic functions for differential operators

  • Authors:

  • L. Bernal-González

  • Affiliations:

  • Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Sevilla, Apdo. 1160, Avda. Reina Mercedes, 41080 Sevilla, Spain

  • Venue:
  • Journal of Approximation Theory
  • Year:
  • 2009

Quantified Score

Hi-index 0.00

Visualization

Abstract

We prove that, given a sequence of points in a complex domain @W without accumulation points, there are functions having prescribed values at the points of the sequence and, simultaneously, having dense orbit in the space of holomorphic functions on @W. The orbit is taken with respect to any fixed nonscalar differential operator generated by an entire function of subexponential type, thereby extending a recent result about MacLane-hypercyclicity due to Costakis, Vlachou and Niess.