## Analytic Sets in Locally Convex SpacesAnalytic Sets in Locally Convex Spaces |

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A-module algebra analytic function analytic map analytic space analytic subset Ann.a Ann.x canonical map Cartan space class C00 closure codimension coherent compact subset conclude contained continuous linear form continuous semi-norm convergence corollary cotopological space decomposition deduce defined dual elements empty interior equations equicontinuous find an open finite definition finite dimension finite dimensional finite number finite type follows Furthermore G-analytic hence holomorphic homogeneous polynomial hypersurface hypothesis ideal of finite integer intersection inverse image irreducible components isomorphism Koszul complex lemma Let us denote linear map locally convex space module morphism n-closed Noetherian nonzero obtain open neighbourhood open set open subset prime ideal Proof Let Proposition Let ramified cover regular sequence relatively compact Remark resp restriction ring semi-norm sheaf space of finite submodule subset of finite subspace suppose surjection Tn(M topology vanish vector verifies weakly analytic well—behaved whence

### References to this book

Geometric Analysis of PDE and Several Complex Variables: Dedicated to ... Francois Treves,Sagun Chanillo No preview available - 2005 |