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Blasio B., Sobolev spaces and the Cayley transform

By Francesca Astengo, Bianca, Di Blasio and Communicated Andreas Seeger

Abstract

Abstract. The generalised Cayley transform C from an Iwasawa N-group into the corresponding real unit sphere S induces isomorphisms between suitable Sobolev spaces Hα (S) andHα (N). We study the differential of C, and we obtain a criterion for a function to be in Hα (S). 1

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.353.3099
Provided by: CiteSeerX
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