An uncertainty principle on Sturm-Liouville hypergroups
Daher, Radouan ; Kawazoe, Takeshi
Proc. Japan Acad. Ser. A Math. Sci., Tome 83 (2007) no. 1, p. 167-169 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
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.
Publié le : 2007-09-15
Classification:  uncertainty principle,  Sturm-Liouville,  hypergroup,  43A62,  43A32,  42A38 
@article{1201012599,
     author = {Daher, Radouan and Kawazoe, Takeshi},
     title = {An uncertainty principle on Sturm-Liouville hypergroups},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {83},
     number = {1},
     year = {2007},
     pages = { 167-169},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1201012599}
}

Daher, Radouan; Kawazoe, Takeshi. An uncertainty principle on Sturm-Liouville hypergroups. Proc. Japan Acad. Ser. A Math. Sci., Tome 83 (2007) no. 1, pp.  167-169. http://gdmltest.u-ga.fr/item/1201012599/