Israel Journal of Mathematics

, Volume 42, Issue 4, pp 353–360 | Cite as

Admissible functions with multiple discontinuities

  • Ishai Oren


LetT be the unit circle, α irrational andF: T → R a step function. A necessary and sufficient condition for the skew of the α-rotation byf (considered as taking values mod 1) to be minimal is given. Also, the boundedness of Σ i=1 n f(x+iα asn → α is resolved.


Unit Circle Step Function Closed Subgroup Jump Discontinuity Admissible Function 
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Copyright information

© The Weizmann Science Press of Israel 1982

Authors and Affiliations

  • Ishai Oren
    • 1
  1. 1.RehovotIsrael

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