Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/17745
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Cheng, Wanqing | pt |
dc.contributor.author | Ryan, John | pt |
dc.contributor.author | Kähler, Uwe | pt |
dc.date.accessioned | 2017-06-07T15:21:43Z | - |
dc.date.issued | 2017-06 | - |
dc.identifier.issn | 1661-8254 | pt |
dc.identifier.uri | http://hdl.handle.net/10773/17745 | - |
dc.description.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. | pt |
dc.language.iso | eng | pt |
dc.publisher | Springer Verlag | pt |
dc.relation | FCT - UID/MAT/0416/2013 | pt |
dc.rights | restrictedAccess | por |
dc.subject | Singular integral operator | pt |
dc.subject | Pi-Operator | pt |
dc.subject | Spectrum | pt |
dc.subject | Beltrami equation | pt |
dc.title | Spherical Pi-type operators in Clifford analysis and applications | pt |
dc.type | article | pt |
dc.peerreviewed | yes | pt |
ua.distribution | international | pt |
degois.publication.firstPage | 1095 | pt |
degois.publication.issue | 5 | pt |
degois.publication.lastPage | 1112 | pt |
degois.publication.title | Complex Analysis and Operator Theory | pt |
degois.publication.volume | 11 | pt |
dc.date.embargo | 10000-01-01 | - |
dc.identifier.doi | 10.1007/s11785-017-0641-0 | pt |
Appears in Collections: | CIDMA - Artigos CHAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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art%3A10.1007%2Fs11785-017-0641-0.pdf | Documento principal | 473.97 kB | Adobe PDF |
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