An uncertainty principle on Sturm-Liouville hypergroups

Radouan Daher; Takeshi Kawazoe

doi:10.3792/pjaa.83.167

An uncertainty principle on Sturm-Liouville hypergroups

Radouan Daher
, Takeshi Kawazoe

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

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

Original language	English
Pages (from-to)	167-169
Number of pages	3
Journal	Proceedings of the Japan Academy Series A: Mathematical Sciences
Volume	83
Issue number	9
DOIs	https://doi.org/10.3792/pjaa.83.167
Publication status	Published - 2007 Sept
Externally published	Yes

Keywords

Hypergroup
Sturm-Liouville
Uncertainty principle

ASJC Scopus subject areas

General Mathematics

Access to Document

10.3792/pjaa.83.167

Cite this

@article{47972e575ec942de8ffcc7d29683ad73,

title = "An uncertainty principle on Sturm-Liouville hypergroups",

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

keywords = "Hypergroup, Sturm-Liouville, Uncertainty principle",

author = "Radouan Daher and Takeshi Kawazoe",

year = "2007",

month = sep,

doi = "10.3792/pjaa.83.167",

language = "English",

volume = "83",

pages = "167--169",

journal = "Proceedings of the Japan Academy Series A: Mathematical Sciences",

issn = "0386-2194",

publisher = "Japan Academy",

number = "9",

}

TY - JOUR

T1 - An uncertainty principle on Sturm-Liouville hypergroups

AU - Daher, Radouan

AU - Kawazoe, Takeshi

PY - 2007/9

Y1 - 2007/9

N2 - As an analogue of the classical uncertainty inequality on the Euclidean space, we shall obtain a generalization on the Sturm-Liouville hypergroups (R+, *(A)). Especially, we shall obtain a condition on A under which the discrete part of the Plancherel formula vanishes.

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

KW - Hypergroup

KW - Sturm-Liouville

KW - Uncertainty principle

UR - https://www.scopus.com/pages/publications/84893944719

UR - https://www.scopus.com/pages/publications/84893944719#tab=citedBy

U2 - 10.3792/pjaa.83.167

DO - 10.3792/pjaa.83.167

M3 - Article

AN - SCOPUS:84893944719

SN - 0386-2194

VL - 83

SP - 167

EP - 169

JO - Proceedings of the Japan Academy Series A: Mathematical Sciences

JF - Proceedings of the Japan Academy Series A: Mathematical Sciences

IS - 9

ER -

An uncertainty principle on Sturm-Liouville hypergroups

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this