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Advances in Fixed Point Theory ISSN 1927-6303 (Print)

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Adv. Fixed Point Theory 10 (2020), Article ID 6

Homogeneous approximation property for various directions

Yang Han, Bei Liu

PDF (140.2 KB) https://doi.org/10.28919/afpt/4521

Abstract

In the theory of signal reconstruction, the homogeneous approximation property (HAP) for wavelets is useful. In this paper, we consider the HAP for the continuous wavelet transform with matrix dilation. When the dilation of wavelet is different in various directions, we show that the HAP holds in L2(Rd). The HAP also holds in L∞(Rd) when we add some conditions.

Published
13 April 2020
Volume
10 (2020)
License
CC BY 3.0

Copyright © 2020 Yang Han, Bei Liu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

Y. Han, B. Liu, Homogeneous approximation property for various directions, Adv. Fixed Point Theory 10 (2020), 6. https://doi.org/10.28919/afpt/4521

BibTeX
@article{Han2020,
  author  = {Han, Yang and Liu, Bei},
  title   = {Homogeneous approximation property for various directions},
  journal = {Adv. Fixed Point Theory},
  volume  = {10},
  year    = {2020},
  pages   = {6},
  doi     = {10.28919/afpt/4521}
}