Benedicks–Amrein–Berthier type theorem related to Opdam–Cherednik transform

The aim of this paper is to prove a new uncertainty principle for the Opdam–Cherednik transform. This result is an analogue of a result Benedicks–Amrein–Berthier, it states that a non zero function f and its Opdam–Cherednik transform H α , β ( f ) cannot both have support of finite measure. We also...

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Veröffentlicht in:	Journal of pseudo-differential operators and applications 2018-06, Vol.9 (2), p.431-441
Hauptverfasser:	Achak, Azzedine, Daher, R.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Analysis Applications of Mathematics Functional Analysis Mathematics Mathematics and Statistics Operator Theory Partial Differential Equations Uncertainty principles
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Zusammenfassung:	The aim of this paper is to prove a new uncertainty principle for the Opdam–Cherednik transform. This result is an analogue of a result Benedicks–Amrein–Berthier, it states that a non zero function f and its Opdam–Cherednik transform H α , β ( f ) cannot both have support of finite measure. We also prove Donoho–Strak’s local uncertainty principle to the Opdam–Cherednik transform.
ISSN:	1662-9981 1662-999X
DOI:	10.1007/s11868-017-0189-9