A conformal mapping in a plane domain locally maps circles to circles. More generally, quasiconformal mappings locally map circles to ellipses of bounded distortion. In this paper the authors study the corresponding situation for solutions to Stein-Weiss systems in the nD Euclidean space. We add a more precise meaning by pointing out that a generalized holomorphic function asymptotically maps the unit sphere onto explicitly characterized ellipsoids and vice versa. Ultimately, we illustrate our approach using a typical example.


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    Titel :

    Local distortion of monogenic functions


    Beteiligte:
    Morais, J. (Autor:in) / Nolder, C. A. (Autor:in) / Sivasundaram, Seenith (Herausgeber:in)

    Kongress:

    9TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES: ICNPAA 2012 ; 2012 ; Vienna, Austria


    Erschienen in:

    AIP Conference Proceedings ; 1493 , 1 ; 703-709


    Erscheinungsdatum :

    06.11.2012


    Format / Umfang :

    7 pages





    Medientyp :

    Aufsatz (Konferenz)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch



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