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This article is cited in 1 scientific paper (total in 1 paper)
Runge's theorem for invariant spaces of analytic maps
S. G. Merzlyakov Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Abstract:
This article studies spaces of real-analytic maps that are closed in the topology of uniform convergence of all derivatives on compact sets and that are invariant with respect to some group of transformations. It is shown that maps in such spaces can be approximated by maps in the same space that are real-analytic in the whole domain.
Received: 23.10.1992
Citation:
S. G. Merzlyakov, “Runge's theorem for invariant spaces of analytic maps”, Izv. Math., 59:2 (1995), 387–400
Linking options:
https://www.mathnet.ru/eng/im17https://doi.org/10.1070/IM1995v059n02ABEH000017 https://www.mathnet.ru/eng/im/v59/i2/p163
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