Repositório Institucional da Universidade de Aveiro > CIDMA - Centro de Investigação e Desenvolvimento em Matemática e Aplicações > CIDMA - Artigos >
 Spherical Pi-type operators in Clifford analysis and applications
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/17745

title: Spherical Pi-type operators in Clifford analysis and applications
authors: Cheng, Wanqing
Ryan, John
Kähler, Uwe
keywords: Singular integral operator
Beltrami equation
issue date: Jun-2017
publisher: Springer Verlag
abstract: 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 spherical Dirac operator, the second spherical Pi-operator is constructed as an isometric L_2-operator over the sphere. Some analogous properties for both Pi-operators are also developed. We also study the applications of both spherical Pi-operators to the solution of the spherical Beltrami equations.
URI: http://hdl.handle.net/10773/17745
ISSN: 1661-8254
publisher version/DOI: http://dx.doi.org/10.1007/s11785-017-0641-0
source: Complex Analysis and Operator Theory
appears in collectionsCIDMA - Artigos

files in this item

file description sizeformat
art%3A10.1007%2Fs11785-017-0641-0.pdfDocumento principal473.97 kBAdobe PDFview/open
Restrict Access. You can Request a copy!

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.


Valid XHTML 1.0! RCAAP OpenAIRE DeGóis
ria-repositorio@ua.pt - Copyright ©   Universidade de Aveiro - RIA Statistics - Powered by MIT's DSpace software, Version 1.6.2