The Lieb and Nazarov Inequalities for Quaternion Linear Canonical S-Transform
Abstract
This research introduces the quaternion linear canonical S-transform. This transform is an extension of the linear canonical S-transform within quaternion algebra. We recall the properties and present the natural link between the quaternion linear canonical transform and the quaternion linear canonical S-transform. We exploit these properties and relation to establish the Lieb and Nazarov inequalities to the quaternion linear canonical S-transform.
Fields of Study & Subjects
Algebraic and Geometric Analysis
Mathematical Analysis and Transform Methods
Holomorphic and Operator Theory
Publication details
- Journal / source
- Journal of the Indonesian Mathematical Society
- Volume
- 32
- Issue
- 1
- Pages
- 1962–1962
- Publication date
- 5 January 2026