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In this chapter we present a different approach to approximate sampling formulae by using general kernels in place of the \(\mathrm {lin}_c\) function. This allows us to establish approximate reconstruction formulae under weak assumptions on the function \(f.\)

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Generalized Exponential Sampling Theory

  • 章节

  • 发表日期：

    2025年

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  • Carlo Bardaro,
  • Paul L. Butzer,
  • Ilaria Mantellini,
  • Gerhard Schmeisser

摘要

In this chapter we present a different approach to approximate sampling formulae by using general kernels in place of the \(\mathrm {lin}_c\) function. This allows us to establish approximate reconstruction formulae under weak assumptions on the function \(f.\)