Publications de l'Institut Mathématique, Nouvelle Série Vol. 86(100), pp. 115–122 (2009) 

APPLICATION OF THE QUASIASYMPTOTIC BOUNDEDNESS OF DISTRIBUTIONS ON WAVELET TRANSFORMKaterina SanevaFaculty of Electrical Engineering and Information Technologies, University 'Ss. Cyril and Methodius', Skopje, MacedoniaAbstract: We analyze the boundedness of the wavelet transform ${\mathcal W}_g f$ of the quasiasymptotically bounded distribution $f$. Assuming that the distribution $f\in\mathcal{S}'(\mathbb R)$ is quasiasymptotically or $r$quasiasymptotically bounded at a point or at infinity related to a continuous and positive function, we obtain results for the localization of its wavelet transform. Keywords: Wavelet transform, tempered distributions, quasiasymptotic boundedness Classification (MSC2000): 46F12; 42C40 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 4 Nov 2009. This page was last modified: 26 Nov 2009.
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