Division by holomorphic functions and convolution equations in infinite dimension
Division by holomorphic functions and convolution equations in infinite dimension
Let $E$ be a complex complete dual nuclear locally convex space (i.e. its strong dual is nuclear), $\Omega$ a connected open set in $E$ and $\mathcal {E}(\Omega )$ the space of the ${C^\infty }$ functions on $\Omega$ (in the real sense). Then we show that any element of $\mathcal {E}â(\Omega …