A non-MRA $$C^r$$ Frame Wavelet with Rapid Decay

Autor: Kathy D. Merrill, Lawrence W. Baggett, Judith A. Packer, Palle E. T. Jorgensen
Rok vydání: 2005
Předmět:
Zdroj: Acta Applicandae Mathematicae. 89:251-270
ISSN: 1572-9036
0167-8019
DOI: 10.1007/s10440-005-9011-4
Popis: A generalized filter construction is used to build an example of a non-MRA normalized tight frame wavelet for dilation by 2 in $$L^{2} {\left( \mathbb{R} \right)}$$ . This example has the same multiplicity function as the Journe wavelet, yet has a $$C^{\infty } $$ Fourier transform and can be made to be $$C^{r} $$ for any fixed postive integer $$r$$ .
Databáze: OpenAIRE
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