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A Further Decay Estimate for the Dziubański-Hernández Wavelets

  Published:2009-12-04
 Printed: Mar 2010
  • Shinya Moritoh
  • Kyoko Tomoeda
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Abstract

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: wavelets, ultradifferentiable functions wavelets, ultradifferentiable functions
MSC Classifications: 42C40, 46E10 show english descriptions Wavelets and other special systems
Topological linear spaces of continuous, differentiable or analytic functions
42C40 - Wavelets and other special systems
46E10 - Topological linear spaces of continuous, differentiable or analytic functions
 

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