Extended point values of distributions

An extension method for linear functionals is given.The proposed method provides extensions of a linear functional T defined on a subspace X of a vector space Y over a field K, by using a suitable isomorphism S : Y -→ Y that satisfies S (X) = X and T S = T.The extension Text : Xext -→ K is linear, and it is defined over a vector space Xext that contains X.Several illustrations are considered, including symmetric values, extension with respect to dilations, extended Ces àro summability of series, and extended multidimensional point values.

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