A differential Puiseux theorem in generalized series fields of finite rank

We give a description of the dual of a Calderón-Lozanovskiĭ intermediate space φ(X,Y) of a couple of Banach Köthe function spaces as an intermediate space ψ(X*,Y*) of the duals, associated with a "variable" function ψ.

On the representation of Dirichlet forms

Lars-Erik Andersson (1975)

Annales de l'institut Fourier

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A general representation theorem is obtained for positive quadratic forms, defined on $C_{00}^{1} (Ω)$ (the space of continuously differentiable functions with compact support contained in $Ω \subset R^{n}$ ) which are local and on which all normal contractions operate.

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