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/