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Wavelet transform for functions with values in UMD spaces

Cornelia Kaiser; Lutz Weis

Studia Mathematica (2008)

Volume: 186, Issue: 2, page 101-126
ISSN: 0039-3223

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We extend the classical theory of the continuous and discrete wavelet transform to functions with values in UMD spaces. As a by-product we obtain equivalent norms on Bochner spaces in terms of g-functions.

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Cornelia Kaiser, and Lutz Weis. "Wavelet transform for functions with values in UMD spaces." Studia Mathematica 186.2 (2008): 101-126. <http://eudml.org/doc/285366>.

@article{CorneliaKaiser2008,
abstract = {We extend the classical theory of the continuous and discrete wavelet transform to functions with values in UMD spaces. As a by-product we obtain equivalent norms on Bochner spaces in terms of g-functions.},
author = {Cornelia Kaiser, Lutz Weis},
journal = {Studia Mathematica},
keywords = {Littlewood-Paley theory},
language = {eng},
number = {2},
pages = {101-126},
title = {Wavelet transform for functions with values in UMD spaces},
url = {http://eudml.org/doc/285366},
volume = {186},
year = {2008},
}

TY - JOUR
AU - Cornelia Kaiser
AU - Lutz Weis
TI - Wavelet transform for functions with values in UMD spaces
JO - Studia Mathematica
PY - 2008
VL - 186
IS - 2
SP - 101
EP - 126
AB - We extend the classical theory of the continuous and discrete wavelet transform to functions with values in UMD spaces. As a by-product we obtain equivalent norms on Bochner spaces in terms of g-functions.
LA - eng
KW - Littlewood-Paley theory
UR - http://eudml.org/doc/285366
ER -

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