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In this chapter we shall study the structure of the space which comprises all functions \(f:\mathbb {R}^+ \rightarrow \mathbb {C}\) belonging to some weighted Lebesgue spaces and having a compactly supported Mellin transform.

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Mellin Bandlimited Functions and Paley–Wiener Theorems in Mellin Setting

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  • 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 shall study the structure of the space which comprises all functions \(f:\mathbb {R}^+ \rightarrow \mathbb {C}\) belonging to some weighted Lebesgue spaces and having a compactly supported Mellin transform.