Norm Retrievable Wavelet Systems

This paper focuses on the norm retrieval problem for wavelet transform. The wavelet transform associated with an admissible wavelet is norm retrieval. However, this problem is difficult in special cases, i.e., for wavelet systems. We give some results of the norm retrieval for wavelet systems.

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Main Authors: Mahdieh sadat Aghaei, Mohammad Ali Hasankhani Fard
Format: Article
Language:English
Published: University of Maragheh 2024-10-01
Series:Sahand Communications in Mathematical Analysis
Subjects:
Online Access:https://scma.maragheh.ac.ir/article_715893_e0fd6e9c3b14a110090b4f59309d243c.pdf
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author Mahdieh sadat Aghaei
Mohammad Ali Hasankhani Fard
author_facet Mahdieh sadat Aghaei
Mohammad Ali Hasankhani Fard
author_sort Mahdieh sadat Aghaei
collection DOAJ
description This paper focuses on the norm retrieval problem for wavelet transform. The wavelet transform associated with an admissible wavelet is norm retrieval. However, this problem is difficult in special cases, i.e., for wavelet systems. We give some results of the norm retrieval for wavelet systems.
format Article
id doaj-art-b7ceffbaa2784ad786bed5e09c42d200
institution Kabale University
issn 2322-5807
2423-3900
language English
publishDate 2024-10-01
publisher University of Maragheh
record_format Article
series Sahand Communications in Mathematical Analysis
spelling doaj-art-b7ceffbaa2784ad786bed5e09c42d2002025-02-11T05:27:48ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-10-0121420922210.22130/scma.2024.2022328.1608715893Norm Retrievable Wavelet SystemsMahdieh sadat Aghaei0Mohammad Ali Hasankhani Fard1Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.This paper focuses on the norm retrieval problem for wavelet transform. The wavelet transform associated with an admissible wavelet is norm retrieval. However, this problem is difficult in special cases, i.e., for wavelet systems. We give some results of the norm retrieval for wavelet systems.https://scma.maragheh.ac.ir/article_715893_e0fd6e9c3b14a110090b4f59309d243c.pdfframephase retrievalnorm retrievalwavelet transformwavelet system
spellingShingle Mahdieh sadat Aghaei
Mohammad Ali Hasankhani Fard
Norm Retrievable Wavelet Systems
Sahand Communications in Mathematical Analysis
frame
phase retrieval
norm retrieval
wavelet transform
wavelet system
title Norm Retrievable Wavelet Systems
title_full Norm Retrievable Wavelet Systems
title_fullStr Norm Retrievable Wavelet Systems
title_full_unstemmed Norm Retrievable Wavelet Systems
title_short Norm Retrievable Wavelet Systems
title_sort norm retrievable wavelet systems
topic frame
phase retrieval
norm retrieval
wavelet transform
wavelet system
url https://scma.maragheh.ac.ir/article_715893_e0fd6e9c3b14a110090b4f59309d243c.pdf
work_keys_str_mv AT mahdiehsadataghaei normretrievablewaveletsystems
AT mohammadalihasankhanifard normretrievablewaveletsystems