Geodesic
On Uniqueness Sets for Expansions in Sequences of Functions Arising from Singular Generating Functions
Canadian journal of mathematics, Tome 33 (1981) no. 4, pp. 803-816

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

Let {pn(z)}; be a sequence of functions analytic in a region D. A problem in analysis which has received much attention is the following: describe the sets Z ⊂ D for which (1) implies hn is 0 for all n, (To make the problem interesting, only those situations are studied where finite subsets of the pn (z) are linearly independent in D.) Another way of phrasing this is: Characterize the uniqueness sets of pn (z), a uniqueness set Z being a set in D such that the restriction of {pn (z)}; to Z is linearly independent. If Z is not a uniqueness set then for some {hn}; not all 0, we have (2) This formula is called a non-trivial representation of 0 (on Z). 
Wimp, Jet. On Uniqueness Sets for Expansions in Sequences of Functions Arising from Singular Generating Functions. Canadian journal of mathematics, Tome 33 (1981) no. 4, pp. 803-816. doi: 10.4153/CJM-1981-062-2
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