Geodesic
A New Criterion for Borel Summability of Fourier Series
Canadian mathematical bulletin, Tome 12 (1969) no. 5, pp. 573-580

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The application of Borel summability to Fourier series has been discussed by Takahashi and Wang [8] and Sahney [5]. Sahney [6] and Sinvhal [7] obtained sufficient conditions for the Borel summability of the derived Fourier series and its conjugate series, respectively. Kathal [3] obtained different conditions in the case of the conjugate series. In this paper we give a new criterion for Borel summability of Fourier series. 
Sahney, B.N.; Kathal, P.D. A New Criterion for Borel Summability of Fourier Series. Canadian mathematical bulletin, Tome 12 (1969) no. 5, pp. 573-580. doi: 10.4153/CMB-1969-074-x
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     author = {Sahney, B.N. and Kathal, P.D.},
     title = {A {New} {Criterion} for {Borel} {Summability} of {Fourier} {Series}},
     journal = {Canadian mathematical bulletin},
     pages = {573--580},
     year = {1969},
     volume = {12},
     number = {5},
     doi = {10.4153/CMB-1969-074-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-074-x/}
}
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