HITZER, Eckhard
Senior Associate Professor Division of Arts and Sciences, College of Liberal Arts, International Christian University |
|
Language | English |
Publication Date | 2021/04 |
Type | Research Paper |
Peer Review | With peer review |
Title | Generalized Uncertainty Principles associated with the Quaternionic Offset Linear Canonical Transform |
Contribution Type | Joint Work |
Journal | Complex Variables and Elliptic Equations |
Journal Type | Another Country |
Publisher | Taylor and Francis |
Total page number | 20 |
Responsible for | part of computation, part of text |
Author and coauthor | Y. El Haoui, E.H.itzer |
Details | The quaternionic offset linear canonical transform (QOLCT) can be defined as a generalization of the quaternionic linear canonical transform (QLCT). In this paper, we define the QOLCT, we derive the relationship between the QOLCT and the quaternion Fourier transform (QFT). Based on this fact, we prove the Rayleigh formula and some properties related to the QOLCT. Then, we generalize some different uncertainty principles (UPs), including Heisenberg-Weyl's UP, Hardy's UP, Beurling's UP, and logarithmic UP to the QOLCT domain. |
URL for researchmap | https://www.tandfonline.com/doi/full/10.1080/17476933.2021.1916919 |