no. 1
Some new convergence criteria for Fourier series
Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche, Série 2, Tome 3 (1934) no. 1, pp. 43-62. 
@article{ASNSP_1934_2_3_1_43_0,
     author = {Hardy, Godfrey Harold and Littlewood, John Edensor},
     title = {Some new convergence criteria for {Fourier} series},
     journal = {Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche},
     pages = {43--62},
     publisher = {Scuola normale superiore},
     volume = {Ser. 2, 3},
     number = {1},
     year = {1934},
     zbl = {0008.31001},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_1934_2_3_1_43_0/}
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Hardy, Godfrey Harold; Littlewood, John Edensor. Some new convergence criteria for Fourier series. Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche, Série 2, Tome 3 (1934) no. 1, pp. 43-62. http://www.numdam.org/item/ASNSP_1934_2_3_1_43_0/

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