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On Invariant Measure of the Circle Maps

Habibulla AkhadkulovUniversiti Kebangsaan MalaysiaMohd Salmi Md NooraniAkhtam DzhalilovTurin Polytechnic University, Kichik Halka yuli 17, Tashkent 100095, Uzbekistan
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Аннотация

Let f be piecewise smooth circle homeomorphisms with break points and the rotation number ρ is irrational. We provide a necessary condition for the absolute continuity of f-invariant measure with respect to Lebesgue measure.

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