On the extension problem for solutions of homogeneous convolution equations
Izvestiya. Mathematics , Tome 75 (2011) no. 3, pp. 507-537

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We construct a series of counterexamples showing the unimprovability of the hypotheses of certain results related to the extension problem in the theory of convolution equations.
Keywords: mean periodicity, extension problem
Mots-clés : convolution equation, Fourier transform.
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     author = {V. V. Volchkov and Vit. V. Volchkov},
     title = {On the extension problem for solutions of homogeneous convolution equations},
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V. V. Volchkov; Vit. V. Volchkov. On the extension problem for solutions of homogeneous convolution equations. Izvestiya. Mathematics , Tome 75 (2011) no. 3, pp. 507-537. http://geodesic.mathdoc.fr/item/IM2_2011_75_3_a2/