Geodesic
On holomorphy in Banach spaces and absolute convergence of Fourier series
Portugaliae mathematica, Tome 45 (1988) no. 4, pp. 429-450.

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Keywords: Sylov-Arens-Calderón theorem, absolute convergence of Fourier series, representation by multiple power series, holomorphic functions in Banach spaces with a Schauder basis, holomorphic functions of nuclear type, Banach A-module, Lévy-Wiener theorem 
@article{PORMA_1988__45_4_115644,
     author = {Matos, M\'ario C.},
     title = {On holomorphy in {Banach} spaces and absolute convergence of {Fourier} series},
     journal = {Portugaliae mathematica},
     pages = {429--450},
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     volume = {45},
     number = {4},
     year = {1988},
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     zbl = {0663.46041},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PORMA_1988__45_4_115644/}
}
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Matos, Mário C. On holomorphy in Banach spaces and absolute convergence of Fourier series. Portugaliae mathematica, Tome 45 (1988) no. 4, pp. 429-450. http://geodesic.mathdoc.fr/item/PORMA_1988__45_4_115644/