Geodesic
Entire Mean Periodic Functions
Canadian journal of mathematics, Tome 27 (1975) no. 4, pp. 805-818

Voir la notice de l'article provenant de la source Cambridge University Press

Let H denote the set of all entire functions of a single complex variable equipped with the topology of convergence uniform on all compact subsets of C, the set of complex numbers. Then an entire function f is mean periodic if the subspace spanned by f and its complex translates is not dense in H. It was shown by Schwartz [13, p. 922] in 1947, to whom this definition is due, that any such function is the limit in H of a certain sequence of exponential polynomials. 
Laird, P. G. Entire Mean Periodic Functions. Canadian journal of mathematics, Tome 27 (1975) no. 4, pp. 805-818. doi: 10.4153/CJM-1975-088-6
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