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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.
Dietmar Vogt. "Section spaces of real analytic vector bundles and a theorem of Grothendieck and Poly." Banach Center Publications 88.1 (2010): 315-321. <http://eudml.org/doc/281858>.
@article{DietmarVogt2010, abstract = {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.}, author = {Dietmar Vogt}, journal = {Banach Center Publications}, keywords = {real analytic manifold; differential operator; Schauder basis; topological invariants}, language = {eng}, number = {1}, pages = {315-321}, title = {Section spaces of real analytic vector bundles and a theorem of Grothendieck and Poly}, url = {http://eudml.org/doc/281858}, volume = {88}, year = {2010}, }
TY - JOUR AU - Dietmar Vogt TI - Section spaces of real analytic vector bundles and a theorem of Grothendieck and Poly JO - Banach Center Publications PY - 2010 VL - 88 IS - 1 SP - 315 EP - 321 AB - 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. LA - eng KW - real analytic manifold; differential operator; Schauder basis; topological invariants UR - http://eudml.org/doc/281858 ER -