Geodesic
Representation of functions by exponentials with positive frequencies
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 59 (2004) no. 1, pp. 171-180 Cet article a éte moissonné depuis la source Math-Net.Ru

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Some new aspects are studied for the following general problem: what spectra of frequencies enable one to represent an arbitrary function as a series in the corresponding harmonics. Of particular interest is the ‘analytic’ situation in which only positive frequencies are used. 
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A. M. Olevskii. Representation of functions by exponentials with positive frequencies. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 59 (2004) no. 1, pp. 171-180. http://geodesic.mathdoc.fr/item/RM_2004_59_1_a11/

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