On uncertainty principles associated with a generalized Stockwell transform in offset fractional Fourier transform

Nasrullah Bachtiar; Andi Tenri Ajeng Nur; Muklas Rivai

doi:10.1016/j.jmaa.2026.130686

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On uncertainty principles associated with a generalized Stockwell transform in offset fractional Fourier transform

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Nasrullah Bachtiar, Andi Tenri Ajeng Nur, Muklas Rivai

2026 Journal of Mathematical Analysis and Applications Vol. 562 Issue 1 Article Cited by 0 SDG 7

Abstract

The classical S-transform has been extended in recent works using the offset fractional Fourier transform. Building on this development, the offset fractional Fourier stockwell transform is introduced as a new generalization within the offset fractional Fourier framework. Several fundamental properties of this transform are established, together with a family of uncertainty principles. In particular, Pitt's inequality, a logarithmic uncertainty principle, a Heisenberg-type uncertainty principle, a sharp Hausdorff–Young inequality, and Lieb's inequality are derived for the Offset fractional Fourier stockwell transform. © 2026 Elsevier Inc.

Affiliations

Department of Actuarial Science, Sumatera Institute of Technology, Lampung, 35365, Indonesia; Department of Mathematics, Sriwijaya University, Ogan Ilir, 30662, Indonesia

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