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<p>In this work, we investigate the time–frequency analysis associated with the Lebedev–Skalskaya wavelet (LS-wavelet) transform. In particular, we present several variants of the Donoho–Stark uncertainty principle adapted to this transform and establish new approximate uncertainty results. Furthermore, we examine and prove a version of the Heisenberg uncertainty principle involving this operator integral.</p>

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Uncertainty principles for the Lebedev-Skalskaya wavelet transform

  • 期刊论文

  • 发表日期：

    2026年3月6日

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  • Abdelaali Dades

摘要

In this work, we investigate the time–frequency analysis associated with the Lebedev–Skalskaya wavelet (LS-wavelet) transform. In particular, we present several variants of the Donoho–Stark uncertainty principle adapted to this transform and establish new approximate uncertainty results. Furthermore, we examine and prove a version of the Heisenberg uncertainty principle involving this operator integral.