Geodesic
On recovery of a measure from its symmetrization
Teoriâ veroâtnostej i ee primeneniâ, Tome 49 (2004) no. 2, pp. 352-362

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We show that a $\sigma$-finite Borel measure, which is defined on the positive half-line and has a nonincreasing density (with respect to the Lebesgue measure) is uniquely characterized by its symmetrization.
Keywords: symmetrization, phase retrieval, factorization theorems, moving average process.
Mots-clés : Fourier transform 
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     author = {A. A. Gushchin and U. K\"uchler},
     title = {On recovery of a measure from its symmetrization},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
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     year = {2004},
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     url = {http://geodesic.mathdoc.fr/item/TVP_2004_49_2_a7/}
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A. A. Gushchin; U. Küchler. On recovery of a measure from its symmetrization. Teoriâ veroâtnostej i ee primeneniâ, Tome 49 (2004) no. 2, pp. 352-362. http://geodesic.mathdoc.fr/item/TVP_2004_49_2_a7/