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Dias, N. C., Luef, F. & Prata, J. N. (2025). On Wigdersons' approach to the uncertainty principle. Journal de Mathématiques Pures et Appliquées. 198

N. C. Dias et al.,  "On Wigdersons' approach to the uncertainty principle", in Journal de Mathématiques Pures et Appliquées, vol. 198, 2025

@article{dias2025_1765880746065,
	author = "Dias, N. C. and Luef, F. and Prata, J. N.",
	title = "On Wigdersons' approach to the uncertainty principle",
	journal = "Journal de Mathématiques Pures et Appliquées",
	year = "2025",
	volume = "198",
	number = "",
	doi = "10.1016/j.matpur.2025.103689",
	url = "https://www.sciencedirect.com/journal/journal-de-mathematiques-pures-et-appliquees"
}

TY  - JOUR
TI  - On Wigdersons' approach to the uncertainty principle
T2  - Journal de Mathématiques Pures et Appliquées
VL  - 198
AU  - Dias, N. C.
AU  - Luef, F.
AU  - Prata, J. N.
PY  - 2025
SN  - 0021-7824
DO  - 10.1016/j.matpur.2025.103689
UR  - https://www.sciencedirect.com/journal/journal-de-mathematiques-pures-et-appliquees
AB  - We revisit the uncertainty principle from the point of view suggested by A. Wigderson and Y. Wigderson. This approach is based on a primary uncertainty principle from which one can derive several inequalities expressing the impossibility of a simultaneous sharp localization in time and frequency. Moreover, it requires no specific properties of the Fourier transform and can therefore be easily applied to all operators satisfying the primary uncertainty principle. A. Wigderson and Y. Wigderson also suggested many generalizations to higher dimensions and stated several conjectures which we address in the present paper. We argue that we have to consider a more general primary uncertainty principle to prove the results suggested by the authors. As a by-product we obtain some new inequalities akin to the Cowling-Price uncertainty principle, a generalization of the Heisenberg uncertainty principle, and derive the entropic uncertainty principle from the primary uncertainty principles.
ER  -