Propagation of CR extendibility at the vertex of a complex sector

Authors

  • Luca Baracco,

    Corresponding author
    1. Dipartimento di Matematica, Università di Padova, via Trieste 63, 35121 Padova, Italy. Phone: +39 0498271388, Fax: +39 049821499
    • Dipartimento di Matematica, Università di Padova, via Trieste 63, 35121 Padova, Italy. Phone: +39 0498271388, Fax: +39  049821499
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  • Stefano Pinton

    1. Dipartimento di Matematica, Università di Padova, via Trieste 63, 35121 Padova, Italy. Phone: +39 0498271388, Fax: +39 049821499
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Abstract

We study propagation of CR extendibility at the vertex p of an analytic sector A contained in a CR manifold M. Let k be the weighted vanishing order of M and α the complex angle of A at p. Propagation takes place if and only if equation image.

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