A Generalized Beurling Theorem for Some Lie Groups

For any real numbers p,q ≥ 1, we present in this paper a ( p, q )-generalized version of Beurling’s uncertainty principle for ℝ n , which largely extends the classical Beurling’s theorem. We then define its analog for compact extensions of ℝ n and also for Heisenberg groups.

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Bibliographische Detailangaben
Veröffentlicht in:	Mathematical Notes 2020, Vol.107 (1-2), p.42-53
Hauptverfasser:	Elloumi, M., Baklouti, A., Azaouzi, S.
Format:	Artikel
Sprache:	eng
Schlagworte:	Lie groups Mathematics Mathematics and Statistics Real numbers Theorems
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	For any real numbers p,q ≥ 1, we present in this paper a ( p, q )-generalized version of Beurling’s uncertainty principle for ℝ n , which largely extends the classical Beurling’s theorem. We then define its analog for compact extensions of ℝ n and also for Heisenberg groups.
ISSN:	0001-4346 1067-9073 1573-8876
DOI:	10.1134/S0001434620010058