Israel Journal of Mathematics

, Volume 13, Issue 1–2, pp 65–81 | Cite as

Local hyperbolicity

  • Lars Gårding


The paper defines and studies a property of functions of several complex variables analytic at the origin which is called local hyperbolicity with respect to a given real direction. For homogeneous polynomials it reduces to ordinary hyperbolicity. Local hyperbolicity is also extended so as to correspond to the hyperbolicity of nonhomogeneous polynomials.


Main Lemma Newton Polygon Compact Part Impure Version Hyperbolic Polynomial 


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Copyright information

© Hebrew University 1972

Authors and Affiliations

  • Lars Gårding
    • 1
  1. 1.Lund UniversityLundSweden

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