A+ CATEGORY SCIENTIFIC UNIT

Universal zero solutions of linear partial differential operators

Volume 198 / 2010

Thomas Kalmes, Markus Niess Studia Mathematica 198 (2010), 33-51 MSC: Primary 47A16, 46E10, 46F05; Secondary 35D99. DOI: 10.4064/sm198-1-2

Abstract

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.

Authors

  • Thomas KalmesFB IV - Mathematik
    Universität Trier
    54286 Trier, Germany
    e-mail
  • Markus NiessMathematisch-Geographische Fakultät
    Katholische Universität Eichstätt-Ingolstadt
    D-85071 Eichstätt, Germany
    e-mail

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