Korean Journal of Mathematics

  • 제23권1호
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  • Pages.129-151
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  • 2015
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  • 1976-8605(pISSN)
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  • 2288-1433(eISSN)
강원경기수학회 (The Kangwon-Kyungki Mathematical Society)
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QUALITATIVE UNCERTAINTY PRINCIPLES FOR THE INVERSE OF THE HYPERGEOMETRIC FOURIER TRANSFORM

  • Mejjaoli, Hatem (Department of Mathematics College of Sciences Taibah University)
  • 투고 : 2014.06.19
  • 심사 : 2015.03.15
  • 발행 : 2015.03.30
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초록

In this paper, we prove an $L^p$ version of Donoho-Stark's uncertainty principle for the inverse of the hypergeometric Fourier transform on $\mathbb{R}^d$. Next, using the ultracontractive properties of the semigroups generated by the Heckman-Opdam Laplacian operator, we obtain an $L^p$ Heisenberg-Pauli-Weyl uncertainty principle for the inverse of the hypergeometric Fourier transform on $\mathbb{R}^d$.

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참고문헌

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