A non-MRA $C^r$ frame wavelet with rapid decay

Lawrence Baggett; Palle Jorgensen; Kathy Merrill; Judith Packer

A non-MRA $C^r$ frame wavelet with rapid decay

经典分析与常微分方程 2007-05-23 v3 算子代数

作者: Lawrence Baggett , Palle Jorgensen , Kathy Merrill , Judith Packer

摘要

A generalized filter construction is used to build an example of a non-MRA normalized tight frame wavelet for dilation by 2 in $L^2(\mathbb R)$ . This example has the same multiplicity function as the Journ\'e wavelet, yet has a $C^{\infty}$ Fourier transform and can be made to be $C^r$ for any fixed positive integer $r$ .

引用

@article{arxiv.math/0504394,
  title  = {A non-MRA $C^r$ frame wavelet with rapid decay},
  author = {Lawrence Baggett and Palle Jorgensen and Kathy Merrill and Judith Packer},
  journal= {arXiv preprint arXiv:math/0504394},
  year   = {2007}
}

备注

20 pages; v2 has graphics for Figures 1, 2, 3, 4; v3 has Figures 5, 6; accepted in 'Acta Applicandae Mathematicae'

A non-MRA $C^r$ frame wavelet with rapid decay

摘要

引用

备注

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