Geodesic
Existence of a~basis in the space of functions analytic in the disk, and some properties of Franklin's system
Sbornik. Mathematics, Tome 24 (1974) no. 1, pp. 1-16

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It is shown that there is a basis in the space of functions analytic in the unit disk and continuous in the closed unit disk. This answers a question posed by Banach. It is further shown that the Franklin system is an unconditional basis in the spaces $L_p(0,1)$ for $1$. Bibliography: 8 titles. 
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S. V. Bochkarev. Existence of a~basis in the space of functions analytic in the disk, and some properties of Franklin's system. Sbornik. Mathematics, Tome 24 (1974) no. 1, pp. 1-16. http://geodesic.mathdoc.fr/item/SM_1974_24_1_a0/