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$L$-analytic mappings in the disk algebra

$L$-analytic mappings in the disk algebra

It is shown that two classes of function transformations coincide when the transformations take place within the disk algebra. The first class is that of the $L$-analytic mappings. These are the ones given locally by power series: $f \to {\sum {{g_n}(f - {f_0})} ^n}$. The second class is that of …