Uncertainty principle for the two sided quaternion windowed Fourier transform

In this paper, we study the quaternion windowed Fourier transform and prove the Beckner’s uncertainty principle in term of entropy, Lieb uncertainty principle and the Heisenberg uncertainty principle for the quaternion windowed Fourier transform, the radar quaternion ambiguity function and the quate...

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Veröffentlicht in:	Journal of pseudo-differential operators and applications 2020-03, Vol.11 (1), p.159-185
Hauptverfasser:	Brahim, Kamel, Tefjeni, Emna
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Analysis Applications of Mathematics Fourier transforms Functional Analysis Mathematics Mathematics and Statistics Operator Theory Partial Differential Equations Quaternions Uncertainty principles
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Beschreibung
Zusammenfassung:	In this paper, we study the quaternion windowed Fourier transform and prove the Beckner’s uncertainty principle in term of entropy, Lieb uncertainty principle and the Heisenberg uncertainty principle for the quaternion windowed Fourier transform, the radar quaternion ambiguity function and the quaternion-Wigner transform.
ISSN:	1662-9981 1662-999X
DOI:	10.1007/s11868-019-00283-5