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<p>The Riesz interpolation formula for the derivatives of trigonometric functions has recently been extended to the Askey–Wilson operator for entire functions of exponential type and bounded on the real line. We show the equivalence of the Sampling Theorem and the Riesz interpolation formula for the Askey–Wilson operators.</p>

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Sampling theorem and Riesz interpolation formula for Askey–Wilson operator with functions of exponential type

  • 期刊论文

  • 发表日期：

    2025年8月30日

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  • Xin Li,
  • Rajitha Ranasinghe

摘要

The Riesz interpolation formula for the derivatives of trigonometric functions has recently been extended to the Askey–Wilson operator for entire functions of exponential type and bounded on the real line. We show the equivalence of the Sampling Theorem and the Riesz interpolation formula for the Askey–Wilson operators.