Spherical Pi-type operators in Clifford analysis and applications

The Pi-operator (Ahlfors–Beurling transform) plays an important role in solving the Beltrami equation. In this paper we define two Pi-operators on the n-sphere. The first spherical Pi-operator is shown to be an L_2 isometry up to isomorphism. To improve this, with the help of the spectrum of the sph...

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Detalhes bibliográficos
Autor principal: Cheng, Wanqing (author)
Outros Autores: Ryan, John (author), Kähler, Uwe (author)
Formato: article
Idioma:eng
Publicado em: 2017
Assuntos:
Texto completo:http://hdl.handle.net/10773/17745
País:Portugal
Oai:oai:ria.ua.pt:10773/17745