The structure of the section space of a real analytic vector bundle on a real analytic manifold X is studied. This is used to improve a result of Grothendieck and Poly on the zero spaces of elliptic operators and to extend a result of Domański and the author on the non-existence of bases to the present case.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc88-0-25,
author = {Dietmar Vogt},
title = {Section spaces of real analytic vector bundles and a theorem of Grothendieck and Poly},
journal = {Banach Center Publications},
volume = {89},
year = {2010},
pages = {315-321},
zbl = {1235.46032},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc88-0-25}
}
Dietmar Vogt. Section spaces of real analytic vector bundles and a theorem of Grothendieck and Poly. Banach Center Publications, Tome 89 (2010) pp. 315-321. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc88-0-25/