dc.contributor.advisor | Stensønes, Berit | |
dc.contributor.author | Aidoo, Nicholas | |
dc.date.accessioned | 2017-03-13T07:58:19Z | |
dc.date.accessioned | 2017-03-13T07:58:19Z | |
dc.date.available | 2017-03-13T07:58:19Z | |
dc.date.created | 2016-05-31 | |
dc.date.issued | 2016 | |
dc.identifier | ntnudaim:15875 | |
dc.identifier.uri | http://hdl.handle.net/11250/2392573 | |
dc.description.abstract | We study and analyze a proof of a theorem by Rosay and Rudin on the Fatou-Bieberbach
method of constructing biholomorphic images of Cn in Cn, starting with an automorphism
with an attracting xed point. We thoroughly investigate constructions of Fatou-
Bieberbach maps. As a result, we lay much emphasis on the concept of resonances and
how they aect our attempt to linearize an automorphism with an attracting xed point,
by a biholomorphic change of variables. We give several examples and some basic explanations
to several concepts in order to give an in-depth and basic feel of the whole
proof. | |
dc.language | eng | |
dc.publisher | NTNU | |
dc.subject | Matematiske fag, Anvendt matematikk | |
dc.title | Resonances and Constructions of Fatou-Bieberbach Maps | |
dc.type | Master thesis | |