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In order to split the signal, continuous wavelet transform based multiscale analysis has been applied on signal y(t) to compute the modulus maxima by using an integrable function [2, 3]: W T ( u, s ) = 1 s ∫ - ∞ + ∞ y ( t ) Ψ * ( t - u ) s d t (3).
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Definition C. Let be an integrable function, for One defines a linear functional as (2.22).
Definition B. Let be an integrable function; for one defines a linear functional as (2.1).
Fejér used a nonnegative integrable function g that is symmetric with respect to the midpoint (c=(a+b)/2).
Let f be an integrable function on the unit disk.
where is a given function and is an integrable function.
Furthermore, let p : [ a, b ] → R + be an integrable function.
Let f be an integrable function of period 2π.
where g : [ 0, 1 ] → R is an integrable function.
Let (alpha>0), and (u(t)) be an integrable function.
Let (p>0), and let (u(t)) be an integrable function.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com