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<p>The paper is concerned with the definition, properties and uncertainty principles for the multi-dimensional quaternionic offset linear canonical transform. First, we define the multi-dimensional offset linear canonical transform based on matrices with symplectic structure. Then, we focus on the definition of the multi-dimensional quaternionic offset linear canonical transform and the corresponding convolution theorem. Finally, some uncertainty principles are established for the proposed multi-dimensional (quaternionic) offset linear canonical transform.</p>

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Uncertainty Principles Associated with the Multi-dimensional Quaternionic Offset Linear Canonical Transform

  • 期刊论文

  • 发表日期：

    2025年4月12日

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  • Yingchun Jiang,
  • Sihua Ling,
  • Yan Tang

摘要

The paper is concerned with the definition, properties and uncertainty principles for the multi-dimensional quaternionic offset linear canonical transform. First, we define the multi-dimensional offset linear canonical transform based on matrices with symplectic structure. Then, we focus on the definition of the multi-dimensional quaternionic offset linear canonical transform and the corresponding convolution theorem. Finally, some uncertainty principles are established for the proposed multi-dimensional (quaternionic) offset linear canonical transform.