Homogeneous approximation property for various directions

Yang Han, Bei Liu

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.

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Published: 2020-04-13

How to Cite this Article:

Yang Han, Bei Liu, Homogeneous approximation property for various directions, Adv. Fixed Point Theory, 10 (2020), Article ID 6

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.

Advances in Fixed Point Theory

ISSN: 1927-6303

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