Haar wavelets on the Lebesgue spaces of local fields of positive characteristic

Biswaranjan Behera. "Haar wavelets on the Lebesgue spaces of local fields of positive characteristic." Colloquium Mathematicae 136.2 (2014): 149-168. <http://eudml.org/doc/283665>.

@article{BiswaranjanBehera2014,
abstract = {We construct the Haar wavelets on a local field K of positive characteristic and show that the Haar wavelet system forms an unconditional basis for $L^\{p\}(K)$, 1 < p < ∞. We also prove that this system, normalized in $L^\{p\}(K)$, is a democratic basis of $L^\{p\}(K)$. This also proves that the Haar system is a greedy basis of $L^\{p\}(K)$ for 1 < p < ∞.},
author = {Biswaranjan Behera},
journal = {Colloquium Mathematicae},
keywords = {wavelet; multiresolution analysis; local field; unconditional basis; democratic basis; greedy basis},
language = {eng},
number = {2},
pages = {149-168},
title = {Haar wavelets on the Lebesgue spaces of local fields of positive characteristic},
url = {http://eudml.org/doc/283665},
volume = {136},
year = {2014},
}

TY - JOUR
AU - Biswaranjan Behera
TI - Haar wavelets on the Lebesgue spaces of local fields of positive characteristic
JO - Colloquium Mathematicae
PY - 2014
VL - 136
IS - 2
SP - 149
EP - 168
AB - We construct the Haar wavelets on a local field K of positive characteristic and show that the Haar wavelet system forms an unconditional basis for $L^{p}(K)$, 1 < p < ∞. We also prove that this system, normalized in $L^{p}(K)$, is a democratic basis of $L^{p}(K)$. This also proves that the Haar system is a greedy basis of $L^{p}(K)$ for 1 < p < ∞.
LA - eng
KW - wavelet; multiresolution analysis; local field; unconditional basis; democratic basis; greedy basis
UR - http://eudml.org/doc/283665
ER -