Measures with locally finite support and spectrum
نویسندگان
چکیده
منابع مشابه
Measures with locally finite support and spectrum.
The goal of this paper is the construction of measures μ on R(n)enjoying three conflicting but fortunately compatible properties: (i) μ is a sum of weighted Dirac masses on a locally finite set, (ii) the Fourier transform μ f μ is also a sum of weighted Dirac masses on a locally finite set, and (iii) μ is not a generalized Dirac comb. We give surprisingly simple examples of such measures. These...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 2016
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.1600685113