Haar Type Orthonormal Wavelet Bases in R2

@article{Lagarias1995HaarTO,
  title={Haar Type Orthonormal Wavelet Bases in R2},
  author={J. Lagarias and Y. Wang},
  journal={Journal of Fourier Analysis and Applications},
  year={1995},
  volume={2},
  pages={1-14}
}
  • J. Lagarias, Y. Wang
  • Published 1995
  • Mathematics
  • Journal of Fourier Analysis and Applications
  • AbstractK.-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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