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Admissible functions with multiple discontinuities |
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| Authors: | Ishai Oren |
| Affiliation: | (1) 19, Hasavion St., Rehovot, Israel |
| Abstract: | 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. |
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