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All Journal Journal of the Indonesian Mathematical Society Jurnal Matematika UNAND
BACHTIAR, NASRULLAH
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Computer Science & IT Mathematics

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ESSENTIAL PROPERTIES RELATED TO SHORT-TIME FRACTIONAL FOURIER TRANSFORM SULASTERI, SRI; BACHTIAR, NASRULLAH; EKASASMITA, WAHYUNI
Jurnal Matematika UNAND Vol 13, No 4 (2024)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.13.4.316-323.2024

Abstract

We start by defining the short-time fractional Fourier transform in this paper, which is a natural generalization of the fractional Fourier transform. We then investigate its essential properties and explore an uncertainty principle related to this proposed transformation.
ESSENTIAL PROPERTIES RELATED TO SHORT-TIME FRACTIONAL FOURIER TRANSFORM SULASTERI, SRI; BACHTIAR, NASRULLAH; EKASASMITA, WAHYUNI
Jurnal Matematika UNAND Vol. 13 No. 4 (2024)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.13.4.316-323.2024

Abstract

We start by defining the short-time fractional Fourier transform in this paper, which is a natural generalization of the fractional Fourier transform. We then investigate its essential properties and explore an uncertainty principle related to this proposed transformation.
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 Danang, Dahnial Mawardi Bahri Sri Sulasteri, Sri syamsuddin Toaha Wahyuni Ekasasmita