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Qualitative uncertainty principles for the inverse of the hypergeometric fourier transform

Hatem Mejjaoli
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2015.03|한국수학논문집 (Korean Journal of Mathematics)|제23권 제1호|pp. 129-151|DOI http://dx.doi.org/10.11568/kjm.2015.23.1.129

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참고문헌

키워드

Hypergeometric Fourier transformDonoho-Stark's uncertainty principle
주제분류수학

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 $\mathbb{R}^{d}$.

Abstract

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 $\mathbb{R}^{d}$.

참고문헌 (31)

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