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On Absolute Continuity of Conjugations between Circle Maps with Break Points

Habibulla AkhadkulovFaculty of Mathematics and Mechanics, Samarkand State University, Boulevard Street 15, 703004 Samarkand, UzbekistanMohd Salmi Md NooraniSchool of Mathematical Sciences, Faculty of Science and Technology, University Kebangsaan Malaysia, Bangi, 43600 Selangor, Malaysia

Abstract and Applied Analysisjournal2012en

ABI

Annotatsiya

Let T 1 and T 2 be piecewise smooth circle homeomorphisms with break points and identical irrational rotation numbers. We provide one sufficient and necessary condition for the absolute continuity of conjugation map between T 1 and T 2 .

Mavzular

Analytic and geometric function theory Advanced Differential Equations and Dynamical Systems

Identifikatorlar

DOI: 10.1155/2012/134701

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