Beurling’s theorem for the quaternion Fourier transform View Full Text


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Article Info

DATE

2019-02-20

AUTHORS

Youssef El Haoui, Said Fahlaoui

ABSTRACT

The two-sided quaternion Fourier transform satisfies some uncertainty principles similar to the Euclidean Fourier transform. A generalization of Beurling’s theorem, Hardy, Cowling–Price and Gelfand–Shilov theorems, is obtained for the two-sided quaternion Fourier transform.

PAGES

1-13

References to SciGraph publications

  • 1991-12. A uniqueness theorem of Beurling for Fourier transform pairs in ARKIV FÖR MATEMATIK
  • 2017-12. The Uncertainty Principle for the Two-Sided Quaternion Fourier Transform in MEDITERRANEAN JOURNAL OF MATHEMATICS
  • 1997-05. The uncertainty principle: A mathematical survey in JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS
  • 2007-08. Quaternion Fourier Transform on Quaternion Fields and Generalizations in ADVANCES IN APPLIED CLIFFORD ALGEBRAS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s11868-019-00281-7

    DOI

    http://dx.doi.org/10.1007/s11868-019-00281-7

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1112262168


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