Positive definiteness and holomorphy

  • Jacob Burbea
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1039)


Conditions for holomorphic extensions of operator-valued functions in domains D (or complex manifolds) of ℂn are formulated in terms of positive-definiteness of order 3 of certain kernels on D×D.


Positive Definiteness Riemann Mapping Accretive Operator Holomorphic Extension Hyperbolic Domain 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1983

Authors and Affiliations

  • Jacob Burbea
    • 1
  1. 1.Department of MathematicsUniversity of PittsburghPittsburghUSA

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