Non-MSF Wavelets for the Hardy Space H²(ℝ)

@article{BiswaranjanBehera2004,
abstract = {All wavelets constructed so far for the Hardy space H²(ℝ) are MSF wavelets. We construct a family of H²-wavelets which are not MSF. An equivalence relation on H²-wavelets is introduced and it is shown that the corresponding equivalence classes are non-empty. Finally, we construct a family of H²-wavelets with Fourier transform not vanishing in any neighbourhood of the origin.},
author = {Biswaranjan Behera},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {wavelet; Minimally Supported Frequency (MSF) wavelet; wavelet set; -wavelet; Hardy space},
language = {eng},
number = {2},
pages = {169-178},
title = {Non-MSF Wavelets for the Hardy Space H²(ℝ)},
url = {http://eudml.org/doc/281033},
volume = {52},
year = {2004},
}

TY - JOUR
AU - Biswaranjan Behera
TI - Non-MSF Wavelets for the Hardy Space H²(ℝ)
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2004
VL - 52
IS - 2
SP - 169
EP - 178
AB - All wavelets constructed so far for the Hardy space H²(ℝ) are MSF wavelets. We construct a family of H²-wavelets which are not MSF. An equivalence relation on H²-wavelets is introduced and it is shown that the corresponding equivalence classes are non-empty. Finally, we construct a family of H²-wavelets with Fourier transform not vanishing in any neighbourhood of the origin.
LA - eng
KW - wavelet; Minimally Supported Frequency (MSF) wavelet; wavelet set; -wavelet; Hardy space
UR - http://eudml.org/doc/281033
ER -