Pitt�s Inequality Associated with Fractional Wavelet Transform

The fractional wavelet transform is an extension of the conventional wavelet transform in the context of the fractional Fourier transform. In current work, we present the natural link between the fractional Fourier transform and conventional wavelet transform. We apply this relation to provide the...

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Main Authors: Bahri, M., Abdul Karim, S.A.
Format: Conference or Workshop Item
Institution: Universiti Teknologi Petronas
Record Id / ISBN-0: utp-eprints.29296 /
Published: Springer Science and Business Media B.V. 2021
Online Access: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85123281950&doi=10.1007%2f978-981-16-4513-6_53&partnerID=40&md5=62f28f83d0798dd816b6026585991e3d
http://eprints.utp.edu.my/29296/
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spelling utp-eprints.292962022-03-25T01:33:27Z Pitt�s Inequality Associated with Fractional Wavelet Transform Bahri, M. Abdul Karim, S.A. The fractional wavelet transform is an extension of the conventional wavelet transform in the context of the fractional Fourier transform. In current work, we present the natural link between the fractional Fourier transform and conventional wavelet transform. We apply this relation to provide the different proof of some fundamental properties of the fractional wavelet transform such as the orthogonality relation, inversion formula and reproducing kernel. Based on these properties and relation, we formulate Pitt�s inequality associated with the fractional Fourier transform. © 2021, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. Springer Science and Business Media B.V. 2021 Conference or Workshop Item NonPeerReviewed https://www.scopus.com/inward/record.uri?eid=2-s2.0-85123281950&doi=10.1007%2f978-981-16-4513-6_53&partnerID=40&md5=62f28f83d0798dd816b6026585991e3d Bahri, M. and Abdul Karim, S.A. (2021) Pitt�s Inequality Associated with Fractional Wavelet Transform. In: UNSPECIFIED. http://eprints.utp.edu.my/29296/
institution Universiti Teknologi Petronas
collection UTP Institutional Repository
description The fractional wavelet transform is an extension of the conventional wavelet transform in the context of the fractional Fourier transform. In current work, we present the natural link between the fractional Fourier transform and conventional wavelet transform. We apply this relation to provide the different proof of some fundamental properties of the fractional wavelet transform such as the orthogonality relation, inversion formula and reproducing kernel. Based on these properties and relation, we formulate Pitt�s inequality associated with the fractional Fourier transform. © 2021, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
format Conference or Workshop Item
author Bahri, M.
Abdul Karim, S.A.
spellingShingle Bahri, M.
Abdul Karim, S.A.
Pitt�s Inequality Associated with Fractional Wavelet Transform
author_sort Bahri, M.
title Pitt�s Inequality Associated with Fractional Wavelet Transform
title_short Pitt�s Inequality Associated with Fractional Wavelet Transform
title_full Pitt�s Inequality Associated with Fractional Wavelet Transform
title_fullStr Pitt�s Inequality Associated with Fractional Wavelet Transform
title_full_unstemmed Pitt�s Inequality Associated with Fractional Wavelet Transform
title_sort pittâ��s inequality associated withâ fractional wavelet transform
publisher Springer Science and Business Media B.V.
publishDate 2021
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-85123281950&doi=10.1007%2f978-981-16-4513-6_53&partnerID=40&md5=62f28f83d0798dd816b6026585991e3d
http://eprints.utp.edu.my/29296/
_version_ 1741197219109797888
score 11.62408

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