Analysis on Real and Complex Manifolds

A₁ C¹ map called Clearly closed compact set compact subsets compact support complex analytic complex manifold connected component const continuous map converges uniformly coordinate system corollary countable base defined DEFINITION denote diffeomorphism differential forms dx₁ elliptic operator exists form of type function g function with compact given Hence holomorphic functions holomorphic map homeomorphism imbedding induces inequality injective integrable isomorphism j₁ k₁ lemma Let f linear differential operator linear map manifold of dimension map f matrix measure zero Moreover neighbourhood numbers open set open subset operator of order p-form parameter group polynomial PROOF proposition prove real analytic relatively compact REMARK sequence submanifold subspace supp suppose tangent topology U₁ U₂ uniformly on compact unique vector bundles vector fields vector space w₁ w₂ X₁