Universal zero solutions of linear partial differential operators

• Autorzy: Thomas Kalmes , Markus Niess
• Języki publikacji: EN

Abstrakty

EN

A generalized approach to several universality results is given by replacing holomorphic or harmonic functions by zero solutions of arbitrary linear partial differential operators. Instead of the approximation theorems of Runge and others, we use an approximation theorem of Hörmander.

Kategorie tematyczne

• 47A16: Cyclic vectors, hypercyclic and chaotic operators
• 46E10: Topological linear spaces of continuous, differentiable or analytic functions
• 46F05: Topological linear spaces of test functions, distributions and ultradistributions
• 35D99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2010
• Tom: 198
• Numer: 1
• Strony: 33-51

Daty

wydano

2010

Twórcy

autor

Thomas Kalmes

• FB IV - Mathematik, Universität Trier, 54286 Trier, Germany

autor

Markus Niess

• Mathematisch-Geographische Fakultät, Katholische Universität Eichstätt-Ingolstadt, D-85071 Eichstätt, Germany

Identyfikatory

DOI

10.4064/sm198-1-2