Proceedings of the Japan Academy, Series A, Mathematical Sciences

An uncertainty principle on Sturm-Liouville hypergroups

Radouan Daher and Takeshi Kawazoe

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As an analogue of the classical uncertainty inequality on the Euclidean space, we shall obtain a generalization on the Sturm-Liouville hypergroups $(\mathbf{R}_{+},*(A))$. Especially, we shall obtain a condition on $A$ under which the discrete part of the Plancherel formula vanishes.

Article information

Proc. Japan Acad. Ser. A Math. Sci., Volume 83, Number 9-10 (2007), 167-169.

First available in Project Euclid: 22 January 2008

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Zentralblatt MATH identifier

Primary: 43A62: Hypergroups 43A32: Other transforms and operators of Fourier type 42A38: Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type

uncertainty principle Sturm-Liouville hypergroup


Daher, Radouan; Kawazoe, Takeshi. An uncertainty principle on Sturm-Liouville hypergroups. Proc. Japan Acad. Ser. A Math. Sci. 83 (2007), no. 9-10, 167--169. doi:10.3792/pjaa.83.167.

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