Haar system on a product of zero-dimensional compact groups

Sergei Lukomskii

Open Mathematics (2011)

  • Volume: 9, Issue: 3, page 627-639
  • ISSN: 2391-5455

Abstract

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In this work, we study the problem of constructing Haar bases on a product of arbitrary compact zero-dimensional Abelian groups. A general scheme for the construction of Haar functions is given for arbitrary dimension. For dimension d=2, we describe all Haar functions.

How to cite

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Sergei Lukomskii. "Haar system on a product of zero-dimensional compact groups." Open Mathematics 9.3 (2011): 627-639. <http://eudml.org/doc/269682>.

@article{SergeiLukomskii2011,
abstract = {In this work, we study the problem of constructing Haar bases on a product of arbitrary compact zero-dimensional Abelian groups. A general scheme for the construction of Haar functions is given for arbitrary dimension. For dimension d=2, we describe all Haar functions.},
author = {Sergei Lukomskii},
journal = {Open Mathematics},
keywords = {Compact zero-dimensional groups; Characters; Haar functions; Wavelet bases; compact zero-dimensional groups; characters; wavelet bases},
language = {eng},
number = {3},
pages = {627-639},
title = {Haar system on a product of zero-dimensional compact groups},
url = {http://eudml.org/doc/269682},
volume = {9},
year = {2011},
}

TY - JOUR
AU - Sergei Lukomskii
TI - Haar system on a product of zero-dimensional compact groups
JO - Open Mathematics
PY - 2011
VL - 9
IS - 3
SP - 627
EP - 639
AB - In this work, we study the problem of constructing Haar bases on a product of arbitrary compact zero-dimensional Abelian groups. A general scheme for the construction of Haar functions is given for arbitrary dimension. For dimension d=2, we describe all Haar functions.
LA - eng
KW - Compact zero-dimensional groups; Characters; Haar functions; Wavelet bases; compact zero-dimensional groups; characters; wavelet bases
UR - http://eudml.org/doc/269682
ER -

References

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