Fr\'echet-valued formal power series
Abstract
Let A be a non-projectively-pluripolar set in a Fr\'echet space E. We give sufficient conditions to ensure the convergence on some zero-neighbourhood in E of a (sequence of) formal power series of Fr\'echet-valued continuous homogeneous polynomials provided that the convergence holds at a zero-neighbourhood of each complex line a := a for every a ∈ A.
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