The Mellin–Poisson summation formula is an exact quadrature formula for Mellin bandlimited functions. Indeed, Corollary 6.100 implies the following statement which is substantial for the purposes of the present chapter.

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Quadrature over the Positive Real Axis

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

摘要

The Mellin–Poisson summation formula is an exact quadrature formula for Mellin bandlimited functions. Indeed, Corollary 6.100 implies the following statement which is substantial for the purposes of the present chapter.