Geodesic
Non-Linear A-Proper Mappings of the Analytic Type
Canadian journal of mathematics, Tome 25 (1973) no. 3, pp. 468-474

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Let Y be a complex Banach space, U an open subset of Y, f a mapping of U into Y. Then f is said to be complex analytic if for each pair of elements x and y of Y with x in U, the function f(x + ξy) of the single complex variable ξ is analytic in ξ on some neighbourhood of the origin. 
Potter, A. J. B. Non-Linear A-Proper Mappings of the Analytic Type. Canadian journal of mathematics, Tome 25 (1973) no. 3, pp. 468-474. doi: 10.4153/CJM-1973-047-2
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