Uniqueness of minimal Fourier-type extensions in \(L_1\)-spaces
Let \(Z\) be a so-called \(n\)-circular set in the \(n\)-dimensional complex Euclidean space \(\mathbb{C}^n\) and \(\nu \) be a positive measure on \(Z\). By \(L_1(Z)\), let us denote the space of all \(\nu \)-measurable complex-valued functions on \(Z\) with respect to the usual norm. The problem of a characterization of uniqueness of finite rank Fourier-type minimal extensions in the space \(L_1(Z)\) is considered. This generalizes the main result obtained earlier by the first author.
scientific article; zbMATH DE number 6162233
scientific article