Interpolation by Bounded Analytic Functions and Related Questions

Part of the Fields Institute Communications book series (FIC, volume 81)


The paper investigates some interpolation questions related to the Khinchine–Ostrowski theorem, Zalcman’s theorem on bounded approximation, and Rubel’s problem on bounded analytic functions.


Bounded analytic functions Bounded approximation Fatou’s interpolation theorem Gδ set of measure zero 

Mathematics Subject Classification:

30H05 30H10 



The author wishes to thank the referee for some mathematical and stylistic corrections, and D. Savchuk for preparation of the electronic file of Fig. 1. He also wishes to thank S. Gardiner, V. Totik, and L. Zalcman for valuable discussions related to the topic of this paper.


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Authors and Affiliations

  1. 1.University of South FloridaTampaUSA

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