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- W3048235625 abstract "We generalize the universal power series of Seleznev to several variables and we allow the coefficients to depend on parameters. Then, the approximable functions may depend on the same parameters. The universal approximation holds on products $K = displaystyleprod_{i = 1}^d K_i$, where $K_i subseteq mathbb{C}$ are compact sets and $mathbb{C} setminus K_i$ are connected, $i = 1, dots, d$ and $0 notin K$. On such $K$ the partial sums approximate uniformly any polynomial. Finally, the partial sums may be replaced by more general expressions. The phenomenon is topologically and algebraically generic." @default.
- W3048235625 created "2020-08-13" @default.
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- W3048235625 date "2020-08-09" @default.
- W3048235625 modified "2023-10-15" @default.
- W3048235625 title "Universal power series of Seleznev with parameters in several variables" @default.
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