Frames associated with expansive matrix dilations

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Abstract

We construct wavelet-type frames associated with the expansive matrix dilation on the Anisotropic Triebel-Lizorkin spaces. We also show the a.e. convergence of the frame expansion which includes multi-wavelet expansion as a special case. Copyright © 2003 Universitat de Barcelona.
Original languageEnglish
Pages (from-to)217-254
JournalCollectanea Mathematica
Volume54
Issue number3
Publication statusPublished - 2003

Citation

Ho, K.-P. (2003). Frames associated with expansive matrix dilations. Collectanea Mathematica, 54(3), 217-254.

Keywords

  • Anisotropic Triebel-Lizorkin spaces
  • Molecules
  • Frames
  • Almost diagonal matrices
  • Convergence of frame expansions

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