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arXiv · 1305.5930

On Hadamard's global inverse function theorem (On global inversion of homogeneous maps)

Michael Ruzhansky·Mitsuru Sugimoto
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Abstract

Hadamard's global inverse theorem provides conditions for a function to be globally invertible on Rn. In this note we show that the conditions are robust enough for the conclusion to hold even if we relax the conditions by removing the assumption at a finite number of points. As a consequence, we get a global inverse function theorem for homogeneous functions.

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Michael Ruzhansky, Mitsuru Sugimoto. 2014-10-08. On Hadamard's global inverse function theorem (On global inversion of homogeneous maps). https://doi.org/10.1007/s13373-014-0059-1

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