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Yet another inverse function theorem

Jaume Gudayol
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Abstract

We prove a Nash-Moser type inverse function theorem in Frechet spaces for functions with approximate inverses, allowing for a loss of derivatives proportional to $n$ in the way of Lojasiewicz and Zehnder.

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Jaume Gudayol. 2001-06-19. Yet another inverse function theorem. https://arxiv.org/abs/math/0106154

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