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A Further Decay Estimate for the Dziubański–Hernández Wavelets

Published online by Cambridge University Press:  20 November 2018

Shinya Moritoh  and
Kyoko Tomoeda
Shinya Moritoh
Affiliation:
Department of Mathematics, Nara Women's University, 630-8506 Nara, Japan e-mail: moritoh@cc.nara-wu.ac.jp
Kyoko Tomoeda
Affiliation:
Department of Mathematics, Nara Women's University, 630-8506 Nara, Japan e-mail: moritoh@cc.nara-wu.ac.jp
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Abstract

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We give a further decay estimate for the Dziubański–Hernández wavelets that are band-limited and have subexponential decay. This is done by constructing an appropriate bell function and using the Paley–Wiener theorem for ultradifferentiable functions.

Keywords

42C4046E10waveletsultradifferentiable functions
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 53 , Issue 1 , 01 March 2010 , pp. 133 - 139
Copyright
Copyright © Canadian Mathematical Society 2010

References

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