Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Gupta, Bivek"'
Autor:
Gupta, Bivek, Verma, Amit K.
This comprehensive review paper delves into the intricacies of advanced Fourier type integral transforms and their mathematical properties, with a particular focus on fractional Fourier transform (FrFT), linear canonical transform (LCT), quadratic ph
Externí odkaz:
http://arxiv.org/abs/2402.06645
In this paper, we extend the coupled fractional Fourier transform of a complex valued functions to that of the quaternion valued functions on $\mathbb{R}^4$ and call it the quaternion coupled fractional Fourier transform (QCFrFT). We obtain the sharp
Externí odkaz:
http://arxiv.org/abs/2309.16675
Autor:
Gupta, Bivek, Verma, Amit K.
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 formula and also characterize the range of the transform and show that i
Externí odkaz:
http://arxiv.org/abs/2212.13907
Autor:
Kaur, Navneet1 (AUTHOR) akverma@iitp.ac.in, Gupta, Bivek2 (AUTHOR), Verma, Amit K.1 (AUTHOR), Agarwal, Ravi P.3 (AUTHOR) agarwalr@fit.edu
Publikováno v:
Mathematics (2227-7390). Aug2024, Vol. 12 Issue 15, p2379. 18p.
Autor:
Gupta, Bivek, Verma, Amit K.
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 quadratic phase Fourier transform (QQPFT). Based on the relation betwe
Externí odkaz:
http://arxiv.org/abs/2204.09017
In this paper, we have given a new definition of continuous fractional wavelet transform in $\mathbb{R}^N$, namely the multidimensional fractional wavelet transform (MFrWT) and studied some of the basic properties along with the inner product relatio
Externí odkaz:
http://arxiv.org/abs/2203.00606
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, reconstruction formula and also characterize its range. We obtain Donoho-Stark's
Externí odkaz:
http://arxiv.org/abs/2202.12244
Autor:
Verma, Amit K., Gupta, Bivek
In this paper we define a new class of continuous fractional wavelet transform (CFrWT) and study its properties in Hardy space and Morrey space. The theory developed generalize and complement some of already existing results.
Externí odkaz:
http://arxiv.org/abs/2102.04453
Autor:
Gupta, Bivek1 1821ma09@iitp.ac.in, Verma, Amit K.1 akverma@iitp.ac.in, Agarwal, Ravi P.2 Ravi.Agarwal@tamuk.edu
Publikováno v:
Matematicki Vesnik. Mar2024, Vol. 76 Issue 1, p84-104. 21p.
Autor:
Verma, Amit K., Gupta, Bivek
In this paper, we have studied continuous fractional wavelet transform (CFrWT) in $n$-dimensional Euclidean space $\mathbb{R}^n$ with dilation parameter $\boldsymbol a=(a_{1},a_{2},\ldots,a_{n}),$ such that none of $a_{i}'s$ are zero. Necessary and s
Externí odkaz:
http://arxiv.org/abs/1912.06832