Wavelet transforms on Gelfand-Shilov spaces and concrete examples

In this paper, we study the continuity properties of wavelet transforms in the Gelfand-Shilov spaces with the use of a vanishing moment condition. Moreover, we also compute the Fourier transforms and the wavelet transforms of concrete functions in the Gelfand-Shilov spaces.

Detalles Bibliográficos
Autores principales: Fukuda, Naohiro, Kinoshita, Tamotu, Yoshino, Kazuhisa
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5437219/
https://www.ncbi.nlm.nih.gov/pubmed/28596697
http://dx.doi.org/10.1186/s13660-017-1393-0
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author Fukuda, Naohiro
Kinoshita, Tamotu
Yoshino, Kazuhisa
author_facet Fukuda, Naohiro
Kinoshita, Tamotu
Yoshino, Kazuhisa
author_sort Fukuda, Naohiro
collection PubMed
description In this paper, we study the continuity properties of wavelet transforms in the Gelfand-Shilov spaces with the use of a vanishing moment condition. Moreover, we also compute the Fourier transforms and the wavelet transforms of concrete functions in the Gelfand-Shilov spaces.
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spelling pubmed-54372192017-06-06 Wavelet transforms on Gelfand-Shilov spaces and concrete examples Fukuda, Naohiro Kinoshita, Tamotu Yoshino, Kazuhisa J Inequal Appl Research In this paper, we study the continuity properties of wavelet transforms in the Gelfand-Shilov spaces with the use of a vanishing moment condition. Moreover, we also compute the Fourier transforms and the wavelet transforms of concrete functions in the Gelfand-Shilov spaces. Springer International Publishing 2017-05-18 2017 /pmc/articles/PMC5437219/ /pubmed/28596697 http://dx.doi.org/10.1186/s13660-017-1393-0 Text en © The Author(s) 2017 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
Fukuda, Naohiro
Kinoshita, Tamotu
Yoshino, Kazuhisa
Wavelet transforms on Gelfand-Shilov spaces and concrete examples
title Wavelet transforms on Gelfand-Shilov spaces and concrete examples
title_full Wavelet transforms on Gelfand-Shilov spaces and concrete examples
title_fullStr Wavelet transforms on Gelfand-Shilov spaces and concrete examples
title_full_unstemmed Wavelet transforms on Gelfand-Shilov spaces and concrete examples
title_short Wavelet transforms on Gelfand-Shilov spaces and concrete examples
title_sort wavelet transforms on gelfand-shilov spaces and concrete examples
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5437219/
https://www.ncbi.nlm.nih.gov/pubmed/28596697
http://dx.doi.org/10.1186/s13660-017-1393-0
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AT kinoshitatamotu wavelettransformsongelfandshilovspacesandconcreteexamples
AT yoshinokazuhisa wavelettransformsongelfandshilovspacesandconcreteexamples

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