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Universal Laurent series in finitely connected domains

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Abstract.

Universal Laurent series where the universal approximation is valid on the boundary of the multiple connected open Ω appears for the first time in [2]. We show that it is possible to demand universal approximation only to a part of the boundary while on the remaining part the universal function can be smooth.

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Correspondence to E. Diamantopoulos.

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Research supported by the program “EΠEAEK II, ΠYΘAΓOPAΣ II” (75% European grant and 25% Greek national grant).

Received: 29 May 2007

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Diamantopoulos, E., Kariofillis, C. & Mouratides, C. Universal Laurent series in finitely connected domains. Arch. Math. 91, 145–154 (2008). https://doi.org/10.1007/s00013-008-2470-x

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  • DOI: https://doi.org/10.1007/s00013-008-2470-x

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