Analytic Functions of Several Complex Variables

Gunning, R. C., & Rossi, H. (1965). Analytic Functions of Several Complex Variables. Prentice-Hall.

Type

Book

Intellectual base

Textbook

Year

1965

ISBN

9780821848210

Link

https://openlibrary.org/works/OL4809867W not authoritativefound

Cited by

2 citations across 2 artifacts.

Domain-specific

• Cousin problems
  • … problems are the paired local-to-global existence questions in several complex variables: the first asks for a global meromorphic function matching prescribed local principal parts up to holomorphic differences, and the second asks for one matching local zero-and-pole divisors up to nowhere-zero holomorphic ratios.
• Pluriharmonic function
  • For a twice-differentiable function, pluriharmonicity is equivalent to vanishing of the complex Hessian operator d-d-c; local holomorphic potentials exist under the usual real-valued convention.

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