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An Abel-Tauber Theorem for Laplace Transforms

โœ Scribed by de Haan, L.

Book ID
120096289
Publisher
Oxford University Press
Year
1976
Tongue
English
Weight
137 KB
Volume
s2-13
Category
Article
ISSN
0024-6107

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๐Ÿ“œ SIMILAR VOLUMES

Abelโ€“Tauber Theorems for Fourierโ€“Stieltj
Abelโ€“Tauber Theorems for Fourierโ€“Stieltjes Coefficients
โœ A Inoue ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 242 KB

We prove AbelแŽTauber theorems which link the asymptotics of a function and its FourierแŽStieltjes coefficients under a weak Tauberian condition. Both cosine and sine coefficients are studied. The results in the cosine case can be applied to stationary time series with long-time memory. The analogues