1 citations · 4 across the 8 of their papers we have counts for
8 papers
A mathematical survey on Fourier type integral transform and their offshoots: windowed Fourier transform, wavelet transform and Stockwell transform
Bivek Gupta, Amit K. Verma
This comprehensive review paper delves into the intricacies of advanced Fourier type integral transforms and their mathematical properties, with a particular focus on fractional Fo…
Uncertainty principles associated with the short time quaternion coupled fractional Fourier transform
Bivek Gupta, Amit K. Verma, Ravi P. Agarwal
In this paper, we extend the coupled fractional Fourier transform of a complex valued functions to that of the quaternion valued functions on and call it the quatern…
Linear Canonical Stockwell Transform and the associated Multiresolution Analysis
Bivek Gupta, Amit K. Verma
In this article, we give a new definition of the linear canonical Stockwell transform (LCST) and study its basic properties along with the inner product relation, reconstruction fo…
Short time quaternion quadratic phase Fourier transform and its uncertainty principles
Bivek Gupta, Amit K. Verma
In this paper, we extend the quadratic phase Fourier transform of a complex valued functions to that of the quaternion valued functions of two variables. We call it the quaternion…
Multidimensional Fractional Wavelet Transforms and Uncertainty Principles
Navneet Kaur, Bivek Gupta, Amit K. Verma
In this paper, we have given a new definition of continuous fractional wavelet transform in , namely the multidimensional fractional wavelet transform (MFrWT) and stu…
Linear canonical wavelet transform and the associated uncertainty principles
Bivek Gupta, Amit K. Verma, Carlo Cattani
We define a novel time-frequency analyzing tool, namely linear canonical wavelet transform (LCWT) and study some of its important properties like inner product relation, reconstruc…