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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

Abstract

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 .

Topics

Analytic and geometric function theoryAdvanced Differential Equations and Dynamical Systems

Identifiers

DOI
10.1155/2012/134701

Citations and references

Cited by 114 references
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