Geodesic
The Representation of (C, k) Summable Series in Fourier Form
Canadian mathematical bulletin, Tome 21 (1978) no. 2, pp. 149-158

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Several non-absolutely convergent integrals have been defined which generalize the Perron integral. The most significant of these integrals from the point of view of application to trigonometric series are the Pn- and pn-integrals of R. D. James [10] and [11]. The theorems relating the Pn -integral to trigonometric series state essentially that if the series 1.1 
Cross, G. E. The Representation of (C, k) Summable Series in Fourier Form. Canadian mathematical bulletin, Tome 21 (1978) no. 2, pp. 149-158. doi: 10.4153/CMB-1978-026-1
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     title = {The {Representation} of {(C,} k) {Summable} {Series} in {Fourier} {Form}},
     journal = {Canadian mathematical bulletin},
     pages = {149--158},
     year = {1978},
     volume = {21},
     number = {2},
     doi = {10.4153/CMB-1978-026-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1978-026-1/}
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