The Fractional Fourier transform (FRFT) is a relatively novel linear transforms that is a
generalization of conventional Fourier transform (FT). FRFT can transform a particular signal …

The main objective of this paper is to study the fractional Fourier transform (F r FT) and the
generalized continuous wavelet transform and some of their basic properties. Applications of …

It is well known that the domain of Fourier transform (FT) can be extended to the Schwartz
space 𝒮 (R) for convenience. As a generation of FT, it is necessary to detect the linear …

In this paper, we define the quadratic‐phase Fourier wavelet transform (QPFWT) and
discuss its basic properties including convolution for QPFWT. Further, inversion formula and …

The coupled fractional Fourier transform is a two-dimensional fractional Fourier transform F
α, β that depends on two angles α, β that are coupled in such a way that the transform …

The primary aim of this paper is to provide an efficient encryption algorithm for RGB images.
A new, fast and secure RGB image encryption using Generalized Heat Equation (GHE) …

In this article, we define the octonion quadratic-phase Fourier transform (OQPFT) and derive
its inversion formula, including its fundamental properties such as linearity, parity …

This paper introduces the quaternion Schwarz type space, and quaternion linear canonical
transform (QLCT) mapping properties are also discussed. Further, the quaternion pseudo …

This paper presents the properties of Gyrator potential operator G μ l and related L p-
Sobolev spaces associated with Gyrator transform (GT). The Schwartz-type space S Δ (R 2) …

In this work, the quadratic-phase Fourier transform (QPFT) on Schwartz space is defined and
its necessary results are derived, including adjoint formula, Parseval identity, and continuity …