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. The book is addressed to graduates and researchers interested in dynamical systems, differential equations, operator theory, or the theory of functions and their applications.

Brings together, in a ready-access encyclopedic format, theories, methods, applications and historical background in the statistical sciences. More than 4 000 entries by leading statisticians, mathematicians, educators and major figures in the development of statistics cover all principle subfields including probability theory, statistical distribution theory, computational methods, sampling survey methods, decision theory, sequential analysis and multivariable analysis. The book is also fully indexed.