Linearization of Lipschitz-polynomial and Lipschitz-analytic mappings

M. V. Dubei, A. V. Zagorodnyuk

Abstract


We introduce and study Lipschitz-analytic and Lipcshitz-polynomial functions, analogues of tensor and symmetric tensor products of metric spaces. Using the analogues of tensor products of metric spaces and linearizations of analytic functions we construct a global linearization of Lipschitz-polynomial and Lipschitz-analytic maps.

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