Glaeser'S Continuity Theorem

(Theorems In Analysis)


Theorems In Analysis
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What is Glaeser's continuity theorem?

In mathematical analysis, Glaeser's continuity theorem, is a characterization of the continuity of the derivative of the square roots of functions of class . It was introduced in 1963 by Georges Glaeser, and was later simplified by Jean Dieudonné. The theorem states: Let be a function of class in an open set U contained in , then is of class in U if and only if its partial derivatives of first and second order vanish in the zeros of f.

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theorems in analysis


Teorema de Glaeser (pt)Théorème de Glaeser (fr)

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