Abelian and Tauberian theorems relating the local behavior of an integrable function to the tail behavior of its Fourier transform
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Publication:1173804
DOI10.1016/0022-247X(91)90069-CzbMath0781.40005MaRDI QIDQ1173804
Publication date: 25 June 1992
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Characteristic functions; other transforms (60E10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Tauberian theorems (40E05)
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Cites Work
- Extremes and related properties of random sequences and processes
- Slowly varying functions and asymptotic behavior of a class of integral transforms. III
- Consistency for least squares regression estimators with infinite variance data
- Optimal kernel estimation of densities
- Lipschitz Behavior and Integrability of Characteristic Functions
- On the behaviour of the characteristic function of a probability distribution in the neighbourhood of the origin
- COMPLEX FOURIER--BESSEL TRANSFORMS
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