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The present article is devoted to the generalized Salem functions, thegenerailed shift operator, and certain related problems. A description offurther investigations of the author of this article is given.Theseinvestigations (in terms of various representations of real numbers) includethe generalized Salem functions and generalizations of the Gauss-Kuzminproblem.

On certain generalizations of one function and related problems (Systems of functional equations and generalizations of certain functions)