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The monograph is devoted to the study of functional equations
with the transformed argument on the real line and on the unit
circle. Such equations systematically arise in dynamical systems,
differential equations, probabilities, singularities of smooth
mappings, and other areas. The purpose of the book is to present
modern methods and new results in the subject, with an emphasis on
a connection between local and global solvability. The general
concepts developed in the book are applicable to multidimensional
functional equations. Some of the methods are presented for the
first time in the monograph literature.
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