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.
@article{urn:eudml:doc:43090,
title = {Frames associated with expansive matrix dilations.},
journal = {Collectanea Mathematica},
volume = {54},
year = {2003},
pages = {217-254},
zbl = {1044.42030},
mrnumber = {MR2010787},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:43090}
}
Ho, Kwok-Pun. Frames associated with expansive matrix dilations.. Collectanea Mathematica, Tome 54 (2003) pp. 217-254. http://gdmltest.u-ga.fr/item/urn:eudml:doc:43090/