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Open AccessArticle10.5802/aif.1836

Continuous division of differential operators

H. Hauser,Luis Narváez Macarro-2001-01-01-Annales de l’institut Fourier

TL;DRAbstract

In this paper, we give a new proof of the continuity of division by differential operators with analytic coefficients, originally proved by Mebkhout and the second author. Our methods come from the proof of the Constant Rank Theorem for analytic maps between power series spaces, given by Müller and the first author.

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In this paper, we give a new proof of the continuity of division by differential operators with analytic coefficients, originally proved by Mebkhout and the second author. Our methods come from the proof of the Constant Rank Theorem for analytic maps between power series spaces, given by Müller and the first author.

Keywords

Division (mathematics)MathematicsConstant coefficientsDifferential (mechanical device)Differential operatorPower seriesConstant (computer programming)Rank (graph theory)

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