Multivariate box spline wavelets in higher-dimensional Sobolev spaces

We construct wavelets and derive a density condition of MRA in a higher-dimensional Sobolev space. We give necessary and sufficient conditions for orthonormality of wavelets in [Formula: see text] . We construct nonseparable orthonormal wavelets in a higher-dimensional Sobolev space by using multiva...

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Detalles Bibliográficos
Autores principales: Kumar, Raj, Chauhan, Manish
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6154079/
https://www.ncbi.nlm.nih.gov/pubmed/30839674
http://dx.doi.org/10.1186/s13660-018-1839-z
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author Kumar, Raj
Chauhan, Manish
author_facet Kumar, Raj
Chauhan, Manish
author_sort Kumar, Raj
collection PubMed
description We construct wavelets and derive a density condition of MRA in a higher-dimensional Sobolev space. We give necessary and sufficient conditions for orthonormality of wavelets in [Formula: see text] . We construct nonseparable orthonormal wavelets in a higher-dimensional Sobolev space by using multivariate box spline.
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spelling pubmed-61540792018-10-10 Multivariate box spline wavelets in higher-dimensional Sobolev spaces Kumar, Raj Chauhan, Manish J Inequal Appl Research We construct wavelets and derive a density condition of MRA in a higher-dimensional Sobolev space. We give necessary and sufficient conditions for orthonormality of wavelets in [Formula: see text] . We construct nonseparable orthonormal wavelets in a higher-dimensional Sobolev space by using multivariate box spline. Springer International Publishing 2018-09-19 2018 /pmc/articles/PMC6154079/ /pubmed/30839674 http://dx.doi.org/10.1186/s13660-018-1839-z Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Kumar, Raj
Chauhan, Manish
Multivariate box spline wavelets in higher-dimensional Sobolev spaces
title Multivariate box spline wavelets in higher-dimensional Sobolev spaces
title_full Multivariate box spline wavelets in higher-dimensional Sobolev spaces
title_fullStr Multivariate box spline wavelets in higher-dimensional Sobolev spaces
title_full_unstemmed Multivariate box spline wavelets in higher-dimensional Sobolev spaces
title_short Multivariate box spline wavelets in higher-dimensional Sobolev spaces
title_sort multivariate box spline wavelets in higher-dimensional sobolev spaces
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6154079/
https://www.ncbi.nlm.nih.gov/pubmed/30839674
http://dx.doi.org/10.1186/s13660-018-1839-z
work_keys_str_mv AT kumarraj multivariateboxsplinewaveletsinhigherdimensionalsobolevspaces
AT chauhanmanish multivariateboxsplinewaveletsinhigherdimensionalsobolevspaces

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