Universal zero solutions of linear partial differential operators

Thomas Kalmes; Markus Niess

Studia Mathematica (2010)

  • Volume: 198, Issue: 1, page 33-51
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Thomas Kalmes, and Markus Niess. "Universal zero solutions of linear partial differential operators." Studia Mathematica 198.1 (2010): 33-51. <http://eudml.org/doc/285815>.

@article{ThomasKalmes2010,
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.},
author = {Thomas Kalmes, Markus Niess},
journal = {Studia Mathematica},
keywords = {universal functions},
language = {eng},
number = {1},
pages = {33-51},
title = {Universal zero solutions of linear partial differential operators},
url = {http://eudml.org/doc/285815},
volume = {198},
year = {2010},
}

TY - JOUR
AU - Thomas Kalmes
AU - Markus Niess
TI - Universal zero solutions of linear partial differential operators
JO - Studia Mathematica
PY - 2010
VL - 198
IS - 1
SP - 33
EP - 51
AB - 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.
LA - eng
KW - universal functions
UR - http://eudml.org/doc/285815
ER -

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