Geodesic
The Donoho – Stark Uncertainty Principle for a Finite Abelian Group
Acta mathematica Universitatis Comenianae, Tome 73 (2004) no. 2 
E. Matusiak; M. Ozaydin; T. Przebinda. The Donoho – Stark Uncertainty Principle for a Finite Abelian Group. Acta mathematica Universitatis Comenianae, Tome 73 (2004) no. 2. http://geodesic.mathdoc.fr/item/AMUC_2004_73_2_a2/
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     title = {The {Donoho} – {Stark} {Uncertainty} {Principle} for a {Finite} {Abelian} {Group}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2004},
     volume = {73},
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     url = {http://geodesic.mathdoc.fr/item/AMUC_2004_73_2_a2/}
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Voir la notice de l'article provenant de la source Comenius University

Let $A$ be a finite cyclic group and let $f$ be a non-zero complex valued function defined on $A$. Donoho and Stark gave an elementary proof that the product of the cardinality of the support of $f$ and the cardinality of the support of the Fourier transform of $f$ is greater than or equal to the order of $A$. They also described the set of functions for which the equality holds. We provide an elementary proof of a~generalization these results to the case when $A$ is an arbitrary finite abelian group.