Biorthogonal wavelets, MRA's and shift-invariant spaces

Marcin Bownik, and Gustavo Garrigós. "Biorthogonal wavelets, MRA's and shift-invariant spaces." Studia Mathematica 160.3 (2004): 231-248. <http://eudml.org/doc/285315>.

@article{MarcinBownik2004,
abstract = {We give a characterization of biorthogonal wavelets arising from MRA's of multiplicity D entirely in terms of the dimension function. This improves the previous characterization in [8] removing an unnecessary angle condition. Besides we characterize Riesz wavelets arising from MRA's, and present new proofs based on shift-invariant space theory, generalizing the 1-dimensional results appearing in [17].},
author = {Marcin Bownik, Gustavo Garrigós},
journal = {Studia Mathematica},
keywords = {Riesz wavelet; biorthogonal wavelet; multiresolution analysis; shift–invariant space; dimension function},
language = {eng},
number = {3},
pages = {231-248},
title = {Biorthogonal wavelets, MRA's and shift-invariant spaces},
url = {http://eudml.org/doc/285315},
volume = {160},
year = {2004},
}

TY - JOUR
AU - Marcin Bownik
AU - Gustavo Garrigós
TI - Biorthogonal wavelets, MRA's and shift-invariant spaces
JO - Studia Mathematica
PY - 2004
VL - 160
IS - 3
SP - 231
EP - 248
AB - We give a characterization of biorthogonal wavelets arising from MRA's of multiplicity D entirely in terms of the dimension function. This improves the previous characterization in [8] removing an unnecessary angle condition. Besides we characterize Riesz wavelets arising from MRA's, and present new proofs based on shift-invariant space theory, generalizing the 1-dimensional results appearing in [17].
LA - eng
KW - Riesz wavelet; biorthogonal wavelet; multiresolution analysis; shift–invariant space; dimension function
UR - http://eudml.org/doc/285315
ER -