Linear canonical wave packet transform

A Prasad, M Kundu - Integral Transforms and Special Functions, 2021 - Taylor & Francis
In this paper, the idea of wave packet transform has been generalized. We have obtained
reconstruction formula, characterization range, orthogonality, some important estimates and …

Linear canonical Fourier–Bessel wavelet transform: properties and inequalities

HB Mohamed, A Saoudi - Integral Transforms and Special …, 2024 - Taylor & Francis
The purpose of this paper is to introduce and study the linear canonical Fourier–Bessel
wavelet transform. We prove an orthogonality relation, inversion formula and some …

Novel uncertainty principles concerning linear canonical wavelet transform

M Bahri, SAA Karim - Mathematics, 2022 - mdpi.com
The linear canonical wavelet transform is a nontrivial generalization of the classical wavelet
transform in the context of the linear canonical transform. In this article, we first present a …

A framework of linear canonical Hankel transform pairs in distribution spaces and their applications

HM Srivastava, M Kumar, T Pradhan - Revista de la Real Academia de …, 2021 - Springer
The motivation of this article stems from the fact that weak solutions of some partial
differential equations exist in a distributional sense, even when there are no strong solutions …

Approximation of linear canonical wavelet transform on the generalized Sobolev spaces

A Prasad, ZA Ansari - Journal of Pseudo-Differential Operators and …, 2019 - Springer
The main objective of this paper is to study the linear canonical wavelet transform (LCWT)
on generalized Sobolev space B^ ξ, A _ p, k (R) B p, k ξ, A (R) and generalized weighted …

Lebedev–Skalskaya Transform Related Continuous Wavelet Transform

AK Gupt, UK Mandal, A Prasad - Results in Mathematics, 2024 - Springer
We define the wavelet and the continuous wavelet transform in the framework of the
Lebedev–Skalskaya transform (LSCWT) and discuss some operational results. Using these …

[HTML][HTML] Novel Spectrophotometric Method for Robust Detection of Trace Copper and Cobalt in High-Concentration Zinc Solution

F Zhou, B Wu, J Zhou - Molecules, 2024 - mdpi.com
In the purification process of zinc hydrometallurgy, the spectra of copper and cobalt seriously
overlap in the whole band and are interfered with by the spectra of zinc and nickel, which …

Linear canonical wavelet transform: Properties and inequalities

M Bahri, AK Amir, R Ashino - International Journal of Wavelets …, 2021 - World Scientific
This paper deals with the linear canonical wavelet transform. It is a non-trivial generalization
of the ordinary wavelet transform in the framework of the linear canonical transform. We first …

Linear canonical Hankel domain based Stockwell transform and associated Heisenberg's uncertainty principle

MY Bhat, AH Dar - The Journal of Analysis, 2023 - Springer
Linear canonical Hankel domain based Stockwell transform (LCHST) is the generalization of
Hankel-Stockwell transform. In this paper, we propose the definition of LCHST and then …

Convolution, correlation and spectrum of functions associated with linear canonical transform

M Kundu, A Prasad - Optik, 2022 - Elsevier
The linear canonical transform (LCT), a generalization of the Fourier transform (FT), has a
wide range of application domains including signal processing and optics. In this article …