A Note on the Alexander Theorem on the Complex Plane
Sylwester Zając
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 60 (2012), p. 249-258 / Harvested from The Polish Digital Mathematics Library
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We investigate the Banach manifold consisting of complex r functions on the unit disc having boundary values in a given one-dimensional submanifold of the plane. We show that ∂/∂λ̅ restricted to that submanifold is a Fredholm mapping. Moreover, for any such function we obtain a relation between its homotopy class and the Fredholm index.

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:281240 
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Sylwester Zając. A Note on the Alexander Theorem on the Complex Plane. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 60 (2012) pp. 249-258. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba60-3-5/