Densities for the angle Θ = uX(mod 2π) and the cosine $Y = \cos(uX)$ can be expressed, through Fourier methods, in terms of the characteristic function of X. Thus ...
We consider a symmetric minimal relation L₀ generated by an integral equation with operators measures. We describe the generalized resolvents of L₀ using the characteristic function M(λ) (λ ∈ ℂ), i.e.
STATISTICAL DESCRIPTION OF TURBULENCE: Averages and operations -- Probabilities for one-dimensional scalar functions -- Moments and characteristic functions -- Joint densities and distributions -- ...
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