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

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APPLICATION OF THE QUASIASYMPTOTIC BOUNDEDNESS OF DISTRIBUTIONS ON WAVELET TRANSFORM

Katerina Saneva

Faculty of Electrical Engineering and Information Technologies, University 'Ss. Cyril and Methodius', Skopje, Macedonia

Abstract: 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

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Electronic fulltext finalized on: 4 Nov 2009. This page was last modified: 26 Nov 2009.

© 2009 Mathematical Institute of the Serbian Academy of Science and Arts
© 2009 ELibM and FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition