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# Publishing house / Banach Center Publications / All volumes

## Section spaces of real analytic vector bundles and a theorem of Grothendieck and Poly

### Volume 88 / 2010

Banach Center Publications 88 (2010), 315-321 MSC: Primary 46E10; Secondary 32C05, 46A63, 46M20. DOI: 10.4064/bc88-0-25

#### 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.

#### Authors

• Dietmar VogtFB Math.-Nat., Bergische Universität Wuppertal
Gauss-Str. 20, D-42097 Wuppertal, Germany
e-mail

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