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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Bibliographic Details
Main Author: Cheng, Wanqing (author)
Other Authors: Ryan, John (author), Kähler, Uwe (author)
Format: article
Language:eng
Published: 2017
Subjects:
Singular integral operator
Pi-Operator
Spectrum
Beltrami equation
Online Access:http://hdl.handle.net/10773/17745
Country:Portugal
Oai:oai:ria.ua.pt:10773/17745

Internet

http://hdl.handle.net/10773/17745

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