List questions from several-complex-variables

Published on 22 Jun 2013 - 4:18

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Is every holomorphic function in a neighborhood of the origin of $C^n$ necessarily bounded?

Published on 27 Jul 2013 - 5:01

431

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Book searching in Pluripotential theory

Published on 25 Aug 2013 - 5:44

676

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A functional power series equation: $(1-w-zw)F(z,w)+zw^nF\left(z,w^2\right)=z-zw$

Published on 28 Aug 2013 - 5:10

809

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Subharmonic, Plurisubharmonic

Published on 29 Aug 2013 - 4:26

146

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Prove that $\log(\max(\left | z_1 \right |,\left | z_2 \right |,\ldots,\left | z_n \right |)) \in MPSH(\Omega)$

Published on 30 Aug 2013 - 3:13

7.3k

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Multivariate Residue Theorem?

Published on 01 Sep 2013 - 21:53

5.7k

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Which book on complex analysis is good for self study?

Published on 10 Sep 2013 - 0:36

4.8k

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Implicit function theorem for several complex variables.

Published on 10 Sep 2013 - 19:10

350

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Properties of plurisubharmonic functions

Published on 11 Sep 2013 - 4:33

1.3k

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Why holomorphic injection on $\mathbb{C}^n$ must be biholomorphic?

Published on 18 Sep 2013 - 14:22

865

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The Wirtinger theorem proof

Published on 27 Sep 2013 - 14:20

4.4k

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Generalization of Cauchy Residue theorem to Multi-dimensional holomorphic functions

Published on 30 Sep 2013 - 11:58

102

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Show that $\widetilde{u} \in PSH(\Omega)$

Published on 30 Sep 2013 - 17:39

279

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Show that a $C^2$-function $u$ is plurisubharmonic if and only if the Hessian matrix $H_u(z)(\omega, \omega)>0$

Published on 05 Oct 2013 - 17:11

List Question

Prove that $A$ has Lebesgue measure $0$.

Is every holomorphic function in a neighborhood of the origin of $C^n$ necessarily bounded?

Book searching in Pluripotential theory

A functional power series equation: $(1-w-zw)F(z,w)+zw^nF\left(z,w^2\right)=z-zw$

Subharmonic, Plurisubharmonic

Prove that $\log(\max(\left | z_1 \right |,\left | z_2 \right |,\ldots,\left | z_n \right |)) \in MPSH(\Omega)$

Multivariate Residue Theorem?

Which book on complex analysis is good for self study?

Implicit function theorem for several complex variables.

Properties of plurisubharmonic functions

Why holomorphic injection on $\mathbb{C}^n$ must be biholomorphic?

The Wirtinger theorem proof

Generalization of Cauchy Residue theorem to Multi-dimensional holomorphic functions

Show that $\widetilde{u} \in PSH(\Omega)$

Show that a $C^2$-function $u$ is plurisubharmonic if and only if the Hessian matrix $H_u(z)(\omega, \omega)>0$

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