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S-asymptotic and S-asymptotic Expansion of Distributional Wavelet Transform
by
Katerina Saneva
Faculty of Electrical Engineering, Ss. Cyril and Methodius University, Skopje, Macedonia
Coauthors: Aneta Buchkovska
In this paper we investigate the asymptotic behavior of the distributional wavelet transform at infinity. Using the notion of S-asymptotic at infinity of a distribution from S¢(R) and K¢1(R) we obtain results for the ordinary asymptotic behavior at infinity of its wavelet transform. We also analyzed the asymptotic expansion at infinity of the wavelet transform of distributions from S¢(R) and K¢1(R) with appropriate S-asymptotic expansion.
Date received: May 31, 2005
Copyright © 2005 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # card-73.