In this paper, we introduce the notion of quaternion linear canonical S-transform (Q-LCST)
which is an extension of the linear canonical S-transform and study the uncertainty …

Abstract The multi-dimensional Special Affine Fourier transform (MSAFT) is an intriguing
new addition to the integral transform class, which generalizes several popular unitary …

In this paper, we introduce quaternion offset linear canonical transform of integrable and
square integrable functions. Moreover, we show that the proposed transform satisfies all the …

A multiresolution analysis associated with linear canonical transform was defined by Shah
and Waseem for which the translation set is a discrete set which is not a group. In this paper …

The linear canonical transform (LCT) provides a unified treatment of the generalized Fourier
transforms in the sense that it is an embodiment of several well-known integral transforms …

The free metaplectic transformation (FMT) has gained much popularity in recent times
because of its various application in signal processing, paraxial optical systems, digital …

A constructive algorithm based on the theory of spectral pairs for constructing nonuniform
wavelet basis in L2 (R) was considered by Gabardo and Nashed. In this setting, the …

The purpose of this paper is to present new classes of function systems as part of
multiresolution analyses. Our approach is representation theoretic, and it makes use of …

The free metaplectic transformation (FMT) has gained much popularity in recent times
because of its various applications in signal processing, paraxial optical systems, digital …

The free metaplectic transformation (FMT) is an nn‐dimensional linear canonical transform.
This transform is much useful, especially in multidimensional signal processing and …