On the Asymptotic Behaviour of the Integral $$\int^{\infty}_0 e^{itx} (\frac {1}{x^{\alpha}} – \frac {1}{[x^{\alpha}]+1} dx (t \rightarrow 0)$$ and Rates of Convergence to $\alpha$-Stable Limit Laws

Lothar Heinrich

doi:10.4171/zaa/1022

On the Asymptotic Behaviour of the Integral
$\int_{0}^{\infty} e^{i t x} (\frac{1}{x ^{α}} - \frac{1}{[ x ^{α} ] + 1} d x (t \to 0)$
and Rates of Convergence to $α$ -Stable Limit Laws

Lothar Heinrich
Universität Augsburg, Germany

$On the Asymptotic Behaviour of the Integral $$\int^{\infty}_0 e^{itx} (\frac {1}{x^{\alpha}} – \frac {1}{[x^{\alpha}]+1} dx (t \rightarrow 0)$$ and Rates of Convergence to $\alpha$-Stable Limit Laws cover$

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Lothar Heinrich, On the Asymptotic Behaviour of the Integral \int^{\infty}_0 e^{itx} (\frac {1}{x^{\alpha}} – \frac {1}{[x^{\alpha}]+1} dx (t \rightarrow 0) and Rates of Convergence to $α$ -Stable Limit Laws. Z. Anal. Anwend. 20 (2001), no. 2, pp. 379–394

DOI 10.4171/ZAA/1022