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Quadrature over the Positive Real Axis

In: Mellin Analysis, Transform Theory, and Applications

Author

Listed:
  • Carlo Bardaro

    (University of Perugia, Department of Mathematics and Informatics)

  • Paul L. Butzer

    (RWTH Aachen University, Lehrstuhl A für Mathematik)

  • Ilaria Mantellini

    (University of Perugia, Department of Mathematics and Informatics)

  • Gerhard Schmeisser

    (Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), Department Mathematik)

Abstract

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.

Suggested Citation

  • Carlo Bardaro & Paul L. Butzer & Ilaria Mantellini & Gerhard Schmeisser, 2025. "Quadrature over the Positive Real Axis," Springer Books, in: Mellin Analysis, Transform Theory, and Applications, chapter 0, pages 433-458, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-96672-9_14
    DOI: 10.1007/978-3-031-96672-9_14
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