Geodesic
A Tauberian theorem for distributions
Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 3, pp. 479-488

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The well-known general Tauberian theorem of N. Wiener is formulated and proved for distributions in the place of functions and its Ganelius' formulation is corrected. Some changes of assumptions of this theorem are discussed, too.
The well-known general Tauberian theorem of N. Wiener is formulated and proved for distributions in the place of functions and its Ganelius' formulation is corrected. Some changes of assumptions of this theorem are discussed, too.
Classification : 40E05, 42A38, 44A35, 46F05, 46F10
Keywords: Tauberian theorem; distribution; convolution; Fourier transform 
Čížek, Jiří; Jelínek, Jiří. A Tauberian theorem for distributions. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 3, pp. 479-488. http://geodesic.mathdoc.fr/item/CMUC_1996_37_3_a4/
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     title = {A {Tauberian} theorem for distributions},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {479--488},
     year = {1996},
     volume = {37},
     number = {3},
     mrnumber = {1426912},
     zbl = {0881.40006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1996_37_3_a4/}
}
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