Haar Type Orthonormal Wavelet Bases in R2 |
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| Authors: | Jeffrey C Lagarias Yang Wang |
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| Institution: | (1) AT&T Bell Laboratories, 600 Mountain Avenue, Murray Hill, New Jersey 07974, USA;(2) School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia 30332, USA |
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| Abstract: | K.-H. Grochenig and A. Haas asked whether for every expanding integer matrix
A ∈ Mn(ℤ) there is a Haar type orthonormal wavelet basis having dilation factor A and translation lattice ℤn. They proved that this is the case when the dimension n = 1. This article shows that this is also the case when the dimension
n = 2. |
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