Geodesic
About relationship between summability of almost periodic functions and Fouriers coefficients
Vladikavkazskij matematičeskij žurnal, Tome 16 (2014) no. 3, pp. 47-54

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We generalize Paley's theorem for Bezicovich and Stepanov almost periodic functions on arbitrary trigonometric system. It is proved that for any trigonometric series under some conditions there exists an almost-periodic function which the given series is its Fourier series. 
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     author = {Yu. Kh. Khasanov},
     title = {About relationship between summability of almost periodic functions and {Fouriers} coefficients},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {47--54},
     publisher = {mathdoc},
     volume = {16},
     number = {3},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2014_16_3_a4/}
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Yu. Kh. Khasanov. About relationship between summability of almost periodic functions and Fouriers coefficients. Vladikavkazskij matematičeskij žurnal, Tome 16 (2014) no. 3, pp. 47-54. http://geodesic.mathdoc.fr/item/VMJ_2014_16_3_a4/