Construction of Non-MSF Non-MRA Wavelets for L²(ℝ) and H²(ℝ) from MSF Wavelets

Aparna Vyas

Bulletin of the Polish Academy of Sciences. Mathematics (2009)

  • Volume: 57, Issue: 1, page 33-40
  • ISSN: 0239-7269

Abstract

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Considering symmetric wavelet sets consisting of four intervals, a class of non-MSF non-MRA wavelets for L²(ℝ) and dilation 2 is obtained. In addition, we obtain a family of non-MSF non-MRA H²-wavelets which includes the one given by Behera [Bull. Polish Acad. Sci. Math. 52 (2004), 169-178].

How to cite

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Aparna Vyas. "Construction of Non-MSF Non-MRA Wavelets for L²(ℝ) and H²(ℝ) from MSF Wavelets." Bulletin of the Polish Academy of Sciences. Mathematics 57.1 (2009): 33-40. <http://eudml.org/doc/281287>.

@article{AparnaVyas2009,
abstract = {Considering symmetric wavelet sets consisting of four intervals, a class of non-MSF non-MRA wavelets for L²(ℝ) and dilation 2 is obtained. In addition, we obtain a family of non-MSF non-MRA H²-wavelets which includes the one given by Behera [Bull. Polish Acad. Sci. Math. 52 (2004), 169-178].},
author = {Aparna Vyas},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {MSF wavelets; wavelet sets; MRA wavelets; -wavelet sets; dimension function},
language = {eng},
number = {1},
pages = {33-40},
title = {Construction of Non-MSF Non-MRA Wavelets for L²(ℝ) and H²(ℝ) from MSF Wavelets},
url = {http://eudml.org/doc/281287},
volume = {57},
year = {2009},
}

TY - JOUR
AU - Aparna Vyas
TI - Construction of Non-MSF Non-MRA Wavelets for L²(ℝ) and H²(ℝ) from MSF Wavelets
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2009
VL - 57
IS - 1
SP - 33
EP - 40
AB - Considering symmetric wavelet sets consisting of four intervals, a class of non-MSF non-MRA wavelets for L²(ℝ) and dilation 2 is obtained. In addition, we obtain a family of non-MSF non-MRA H²-wavelets which includes the one given by Behera [Bull. Polish Acad. Sci. Math. 52 (2004), 169-178].
LA - eng
KW - MSF wavelets; wavelet sets; MRA wavelets; -wavelet sets; dimension function
UR - http://eudml.org/doc/281287
ER -

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