The Zeros of Nevanlinna Functions

  • Walter Rudin
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 241)

Abstract

In Theorem 7.3.3 we saw that the zero-variety Z(f) of a function fN(B) satisfies the Blaschke condition. The Henkin-Skoda theorem asserts the converse: if a zero-variety V in B satisfies the Blaschke condition, then V = Z(f) for some fN(B). (Actually, both Henkin and Skoda proved this in strictly pseudoconvex domains.)

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Copyright information

© Springer-Verlag New York Inc. 1980

Authors and Affiliations

  • Walter Rudin
    • 1
  1. 1.Department of MathematicsUniversity of WisconsinMadisonUSA

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