It is shown that for a wide class of linear
partial differential operators with constant coefficients the
space of real analytic zero solutions does not admit a Schauder
basis. This is based on results on the linear topological
structure of the space of zero solutions and a careful analysis of
the solvability with a real analytic parameter.
Publié le : 2007-09-14
Classification:
real analytic functions,
linear partial differential operators,
Schauder basis,
46E10,
26E05,
35E20
@article{1190994220,
author = {Vogt, Dietmar},
title = {Real analytic zero solutions of linear partial differential operators with constant coefficients},
journal = {Bull. Belg. Math. Soc. Simon Stevin},
volume = {13},
number = {5},
year = {2007},
pages = { 577-586},
language = {en},
url = {http://dml.mathdoc.fr/item/1190994220}
}
Vogt, Dietmar. Real analytic zero solutions of linear partial differential operators with constant coefficients. Bull. Belg. Math. Soc. Simon Stevin, Tome 13 (2007) no. 5, pp. 577-586. http://gdmltest.u-ga.fr/item/1190994220/