Utilize este identificador para referenciar este registo: http://hdl.handle.net/10071/33660
Autoria: Dias, N. C.
Luef, F.
Prata, J. N.
Data: 2025
Título próprio: On Wigdersons' approach to the uncertainty principle
Título da revista: Journal de Mathématiques Pures et Appliquées
Volume: 198
Referência bibliográfica: Dias, N. C., Luef, F., & Prata, J. N. (2025). On Wigdersons' approach to the uncertainty principle. Journal de Mathématiques Pures et Appliquées, 198, Article 103689. https://doi.org/10.1016/j.matpur.2025.103689
ISSN: 0021-7824
DOI (Digital Object Identifier): 10.1016/j.matpur.2025.103689
Palavras-chave: Uncertainty principles
Fourier transform
Metaplectic operators
Resumo: 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.
Arbitragem científica: yes
Acesso: Acesso Embargado
Aparece nas coleções:DM-RI - Artigos em revistas científicas internacionais com arbitragem científica

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