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Danang, Dahnial
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Mathematics

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The Lieb and Nazarov Inequalities for Quaternion Linear Canonical S-Transform Danang, Dahnial; Bahri, Mawardi; Bachtiar, Nasrullah; Toaha, Syamsuddin
Journal of the Indonesian Mathematical Society Vol. 32 No. 1 (2026): MARCH
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v32i1.1962

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.
Co-Authors BACHTIAR, NASRULLAH Mawardi Bahri syamsuddin Toaha