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On the Periodicity of Entire Functions

Results in Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lü, Weiran, Zhang, Xiaoxue
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On the realization of periodic functions

Systems & Control Letters, 2005
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Eero Immonen   +2 more
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On the periods of a periodic function

International Journal of Mathematical Education in Science and Technology, 2005
It is known that any nonconstant real-valued periodic function defined on the set of all real numbers is either discontinuous at each point of its domain or has a least positive period. Using the additive semigroup consisting of non-negative periods, we generalize this result by giving a unified proof of the same conclusion when the domain of the given
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On the Distribution Functions of Almost Periodic Functions

American Journal of Mathematics, 1938
Introduction. While it is known 1 that every almost periodic function z (t), oo < t < + oo, has an asymptotic distribution function u, very little is known about sufficient conditions which, when imposed on z(t), insure a preassigned degree of smoothness for the function u.
Hartman, Philip   +2 more
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The wavelet transform of periodic function and nonstationary periodic function

Applied Mathematics and Mechanics, 2002
The authors present some properties of the wavelet transform of trigonometric functions, periodic functions, and a class of nonstationary periodic functions. A new reconstruction equation for these functions is introduced. By using it a better reconstructed wave shape can be obtained.
Liu, Haifeng   +4 more
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ON FUNCTIONS PERIODIC IN THE MEAN

Mathematics of the USSR-Izvestiya, 1970
A study is made of systems of exponential functions that retain some of the properties of a trigonometric system.
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Periodic functions

2011
This chapter deals with periodic functions, which are functions that have a certain basic pattern of behaviour or cycle that repeats. It refers to the basic trigonometric functions: the sine and cosine, which are the most commonly used and relevant periodic functions.
Ravi P. Agarwal   +2 more
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