Geodesic
On the theorems of Turan, Amrein--Berthier and Zigmund
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 20, Tome 201 (1992), pp. 117-123

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A rather sharp inequality of Turan's lemma type is obtained. Its applications to some uniqueness theorems are discussed. No proofs are given. 
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     author = {F. L. Nazarov},
     title = {On the theorems of {Turan,} {Amrein--Berthier} and {Zigmund}},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {117--123},
     publisher = {mathdoc},
     volume = {201},
     year = {1992},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1992_201_a3/}
}
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F. L. Nazarov. On the theorems of Turan, Amrein--Berthier and Zigmund. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 20, Tome 201 (1992), pp. 117-123. http://geodesic.mathdoc.fr/item/ZNSL_1992_201_a3/