Unconditional biorthogonal wavelet bases in $L^p\left({ℝ}^d\right)$

Waldemar Pompe. "Unconditional biorthogonal wavelet bases in $L^{p}(ℝ^{d})$." Colloquium Mathematicae 92.1 (2002): 19-34. <http://eudml.org/doc/283911>.

@article{WaldemarPompe2002,
abstract = {We prove that a biorthogonal wavelet basis yields an unconditional basis in all spaces $L^\{p\}(ℝ^\{d\})$ with 1 < p < ∞, provided the biorthogonal wavelet set functions satisfy weak decay conditions. The biorthogonal wavelet set is associated with an arbitrary dilation matrix in any dimension.},
author = {Waldemar Pompe},
journal = {Colloquium Mathematicae},
keywords = {biorthogonal wavelet sets; dilation matrix; unconditional basis},
language = {eng},
number = {1},
pages = {19-34},
title = {Unconditional biorthogonal wavelet bases in $L^\{p\}(ℝ^\{d\})$},
url = {http://eudml.org/doc/283911},
volume = {92},
year = {2002},
}

TY - JOUR
AU - Waldemar Pompe
TI - Unconditional biorthogonal wavelet bases in $L^{p}(ℝ^{d})$
JO - Colloquium Mathematicae
PY - 2002
VL - 92
IS - 1
SP - 19
EP - 34
AB - We prove that a biorthogonal wavelet basis yields an unconditional basis in all spaces $L^{p}(ℝ^{d})$ with 1 < p < ∞, provided the biorthogonal wavelet set functions satisfy weak decay conditions. The biorthogonal wavelet set is associated with an arbitrary dilation matrix in any dimension.
LA - eng
KW - biorthogonal wavelet sets; dilation matrix; unconditional basis
UR - http://eudml.org/doc/283911
ER -