@inproceedings{scholars15565, publisher = {Springer Science and Business Media B.V.}, journal = {Springer Proceedings in Complexity}, title = {Pitt{\^a}??s Inequality Associated with{\^A} Fractional Wavelet Transform}, pages = {611--622}, note = {cited By 0; Conference of 6th International Conference on Fundamental and Applied Sciences, ICFAS 2020 ; Conference Date: 13 July 2021 Through 15 July 2021; Conference Code:270909}, year = {2021}, doi = {10.1007/978-981-16-4513-6{$_5$}{$_3$}}, abstract = {The fractional wavelet transform{\^A} 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{\^A} and conventional wavelet transform. We apply this relation to provide the different proof of some fundamental properties of the fractional wavelet transform{\^A} such as the orthogonality relation, inversion formula and reproducing kernel. Based on these properties and relation, we formulate Pitt{\^a}??s inequality associated with the fractional Fourier transform. {\^A}{\copyright} 2021, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85123281950&doi=10.1007\%2f978-981-16-4513-6\%5f53&partnerID=40&md5=62f28f83d0798dd816b6026585991e3d}, isbn = {9789811645129}, author = {Bahri, M. and Abdul Karim, S. A.}, issn = {22138684} }