Convexity Theorems

  • Bernard R. Gelbaum
Part of the Problem Books in Mathematics book series (PBM)


In such disparate contexts as the Hahn-Banach theorem, seminorms, Kol-mogorov’s theorem (cf. 6.162), von Neumann’s theory of almost periodic functions on groups (cf. 2.93), his theory of games [NM] and linear programming, Jensen’s inequality, Hadamard’s three-lines/three-circles theorems, the Hausdorff-Young theorem, probability theory, etc., the rôle played by convexity is central. The following discussion attempts to illustrate that role in complex analysis.




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Copyright information

© Springer Science+Business Media New York 1992

Authors and Affiliations

  • Bernard R. Gelbaum
    • 1
  1. 1.Department of MathematicsState University of New York (SUNY)BuffaloUSA

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