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On Lusin's condition for the inverse function

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Abstract

Sia ϕ una funzione invertibile, continua e quasi ovunque differenziabile, da un aperto di IRn in IRn. Allora ϕ−1soddisfa alla condizione di Lusin (N) se e solo se lo Jacobiano di ϕ è quasi ovunque diverso da zero.

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References

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  1. Seminario Matematico, Viale A. Doria 6, 95125, Catania

    Alfonso Villani

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  1. Alfonso Villani
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Villani, A. On Lusin's condition for the inverse function. Rend. Circ. Mat. Palermo 33, 331–335 (1984). https://doi.org/10.1007/BF02844496

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  • DOI: https://doi.org/10.1007/BF02844496

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