Geodesic
Abel type theorems for the wavelet transform through the quasiasymptotic boundedness
Novi Sad Journal of Mathematics, Tome 45 (2015) no. 1.

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We analyze quasiasymptotic boundedness of distributions and their wavelet transforms, in general, as well as for a class of $\alpha-$ exponentially bounded distributions and their wavelet transforms in particular. The main idea of this paper is to use, instead of the quasiasymptotic behaviour, the notion of quasiasymptotic boundedness. In this way we obtain new Abelian type theorems for the wavelet transform of distributions with different growth.
Publié le :
DOI : 10.30755/NSJOM.dans14.10
Classification : 46F12, 42C40
Keywords: Wavelet transform, distributions: tempered, $\alpha$-exponentially, quasiasymptotic boundedness, Abelian type theorems 
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Mirjana Vuković; Ivana Zubac. Abel type theorems for the wavelet transform  through the
quasiasymptotic boundedness. Novi Sad Journal of Mathematics, Tome 45 (2015) no. 1. doi : 10.30755/NSJOM.dans14.10. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.dans14.10/

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