Geodesic
Subharmonic almost periodic functions
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 1 (2005), pp. 209-224

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We prove that almost periodicity in the sense of distributions coincides with almost periodicity with respect to Stepanov's metric for the class of subharmonic functions in a strip $z\in\mathbb C:a\mathrm{Im}\,z$. We also prove that Fourier coefficients of these functions are continuous functions in Imz. Further, if the logarithm of a subharmonic almost periodic function is a subharmonic function, then it is almost periodic. 
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     author = {A. V. Rakhnin and S. Yu. Favorov},
     title = {Subharmonic almost periodic functions},
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A. V. Rakhnin; S. Yu. Favorov. Subharmonic almost periodic functions. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 1 (2005), pp. 209-224. http://geodesic.mathdoc.fr/item/JMAG_2005_1_a4/