Titlebook: Lectures on Several Complex Variables; Paul M. Gauthier Book 2014 Springer International Publishing Switzerland 2014 Cauchy integral formu

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The Dirichlet Problem,The natural Dirichlet problem in .. is not the classical one for solutions of the Laplace equation but rather for solutions of the Monge–Ampère equation. We?present the solution of this Dirichlet problem in a ball.

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Complex Manifolds,Complex manifolds are introduced as spaces which are locally (complex) Euclidean. They are higher-dimensional analogs of Riemann surfaces.

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The Tangent Space,The complex tangent space to a complex manifold allows us to define binary forms. Various binary forms are used to define Hermitian, symplectic, and almost complex manifolds.