Geodesic
On Density of Fourier Coefficients
Canadian mathematical bulletin, Tome 16 (1973) no. 1, pp. 93-103

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Let f be an L integrable real valued function of period 2π and let (1) be its Fourier series. It is known that if f is of bounded variation then all nan and nb n(n=1,2,3,...) lie in the interval [-V(F)/π, V(F)/π;] where V(f) is the total variation of f. M. Izumi and S. Izumi [3] have recently asserted the following theorem A about the density of the positive and negative Fourier sine coefficients of a function of bounded variation. 
Siddiqi, Rafat N. On Density of Fourier Coefficients. Canadian mathematical bulletin, Tome 16 (1973) no. 1, pp. 93-103. doi: 10.4153/CMB-1973-019-x
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     title = {On {Density} of {Fourier} {Coefficients}},
     journal = {Canadian mathematical bulletin},
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     year = {1973},
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     doi = {10.4153/CMB-1973-019-x},
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