# Carleman Approximation of Maps into Oka Manifolds

24 Sep 2018 Chenoweth Brett

In this paper we obtain a Carleman approximation theorem for maps from Stein manifolds to Oka manifolds. More precisely, we show that under suitable complex analytic conditions on a totally real set $M$ of a Stein manifold $X$, every smooth map $X \rightarrow Y$ to an Oka manifold $Y$ satisfying the Cauchy-Riemann equations along $M$ up to order $k$ can be $\mathscr{C}^k$-Carleman approximated by holomorphic maps $X \rightarrow Y$... (read more)

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