Frames associated with expansive matrix dilations.

Kwok-Pun Ho

Collectanea Mathematica (2003)

  • Volume: 54, Issue: 3, page 217-254
  • ISSN: 0010-0757

Abstract

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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.

How to cite

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Ho, Kwok-Pun. "Frames associated with expansive matrix dilations.." Collectanea Mathematica 54.3 (2003): 217-254. <http://eudml.org/doc/43090>.

@article{Ho2003,
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.},
author = {Ho, Kwok-Pun},
journal = {Collectanea Mathematica},
keywords = {Ondículas; Marcos de ondículas; Matrices de dilatación; anisotropic Triebel-Lizorkin spaces; molecules; frames; almost diagonal matrices; convergence of frame expansions},
language = {eng},
number = {3},
pages = {217-254},
title = {Frames associated with expansive matrix dilations.},
url = {http://eudml.org/doc/43090},
volume = {54},
year = {2003},
}

TY - JOUR
AU - Ho, Kwok-Pun
TI - Frames associated with expansive matrix dilations.
JO - Collectanea Mathematica
PY - 2003
VL - 54
IS - 3
SP - 217
EP - 254
AB - 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.
LA - eng
KW - Ondículas; Marcos de ondículas; Matrices de dilatación; anisotropic Triebel-Lizorkin spaces; molecules; frames; almost diagonal matrices; convergence of frame expansions
UR - http://eudml.org/doc/43090
ER -

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