Geodesic
Comparison of Two Generalized Trigonometric Integrals
Matematičeskie zametki, Tome 79 (2006) no. 2, pp. 278-287

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The $P^2$-integral of James is compared with the $T^2$-integral. A trigonometric series convergent almost everywhere to a function which is $T^2$-integrable but not $P^2$-integrable is constructed. 
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     author = {V. A. Skvortsov and N. N. Kholshchevnikova},
     title = {Comparison of {Two} {Generalized} {Trigonometric} {Integrals}},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2006_79_2_a10/}
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V. A. Skvortsov; N. N. Kholshchevnikova. Comparison of Two Generalized Trigonometric Integrals. Matematičeskie zametki, Tome 79 (2006) no. 2, pp. 278-287. http://geodesic.mathdoc.fr/item/MZM_2006_79_2_a10/