Fourier-Stieltjes transform

Fourier-Stieltjes transform

[‚fu̇r·ē‚ā ′stēl·yes ‚tranz‚fȯrm]
(mathematics)
For a function ƒ(y) of bounded variation on the interval (-∞, ∞), the function F (x) equal to 1/√(2π) times the integral from y = -∞ to y = ∞ of exp (-ixy) d ƒ(y).
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The mathematicians investigate the pointwise convergence of weighted averages linked to averages along cubes, divergent ergodic averages along the squares, the one-sided ergodic Hilbert transform, deterministic walks in Markov environments with constant rigidity, limit theorems for sequential expanding dynamical systems, and random Fourier-Stieltjes transforms.