Holomorphic vector-valued functions
نویسنده
چکیده
exists. The function f is continuously differentiable when it is differentiable and f ′ is continuous. A k-times continuously differentiable function is C, and a continuous function is C. A V -valued function f is weakly C when for every λ ∈ V ∗ the scalar-valued function λ◦ f is C. This sense of weak differentiability of a function f does not refer to distributional derivatives, but to differentiability of every scalar-valued function λ ◦ f where λ ∈ V ∗ for V -valued f .
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