# The Lieb and Nazarov Inequalities for Quaternion Linear Canonical S-Transform
> Damang D.

URL kanonis: https://discover.unhas.ac.id/publications/pub_scopus_105029852095
Jurnal / Konferensi: Journal of the Indonesian Mathematical Society
Tahun terbit: 2026
DOI: https://doi.org/10.22342/jims.v32i1.1962
ISSN: 20868952
Kuartil SJR: Q4
Citations: 0

## Authors
- Damang D.

## 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.

## Keywords
- Quaternion
- Mathematics
- Extension (predicate logic)
- Canonical correlation
- Canonical form
- Pure mathematics
- Linear map
- Linear system
- Standard basis
- Linear inequality
- Canonical correspondence analysis
- Dual quaternion
- Algebra over a field
- Lift (data mining)
- Quaternion algebra

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Sumber: Discover Unhas — RIMS Universitas Hasanuddin.
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