Uncertainty principles for the Cherednik transform

R. Daher, S. L. Hamad, Takeshi Kawazoe, N. Shimeno

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We shall investigate two uncertainty principles for the Cherednik transform on the Euclidean space a; Miyachi's theorem and Beurling's theorem. We give an analogue of Miyachi' theorem for the Cherednik transform and under the assumption that o has a hypergroup structure, an analogue of Beurling's theorem for the Cherednik transform.

Original languageEnglish
Pages (from-to)429-436
Number of pages8
JournalProceedings of the Indian Academy of Sciences: Mathematical Sciences
Volume122
Issue number3
DOIs
Publication statusPublished - 2012 Aug

Fingerprint

Uncertainty Principle
Transform
Theorem
Analogue
Hypergroup
Euclidean space

Keywords

  • Beurling's theorem
  • Cherednik operators
  • Cherednik transform
  • Miyachi's theorem

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Uncertainty principles for the Cherednik transform. / Daher, R.; Hamad, S. L.; Kawazoe, Takeshi; Shimeno, N.

In: Proceedings of the Indian Academy of Sciences: Mathematical Sciences, Vol. 122, No. 3, 08.2012, p. 429-436.

Research output: Contribution to journalArticle

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