Complex martingale convergence

  • G. A. Edgar
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1166)


We investigate martingales appropriate for use in complex Banach spaces in connection with the complex uniform convexity popularized by Davis, Garling and Tomczak. This brings us into contact with diverse concepts, such as: pseudo-convex sets, plurisubharmonic functions, conformal martingales, the Radon-Nikodym property, and the analytic Randon-Nikodym property.


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Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • G. A. Edgar
    • 1
  1. 1.The Ohio State UniversityColumbus

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