Periodic functions with variable period

Details Periodic functions with variable period Periodic functions with variable period

2010-06-08

arxiv.org/abs/1006.2792v1

Mathematics

General Mathematics

Scientific paper

The examples of rhythmical signals with variable period are considered. The definition of periodic function with the variable period is given as a model of such signals. The examples of such functions are given and their variable periods are written in the explicit form. The system of trigonometric functions with the variable period is considered and its orthogonality is proved. The generalized system of trigonometric functions with the variable period is also suggested; some conditions of its existence are considered.

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