Function Theory of Several Complex Variables: Second Edition
Function Theory of Several Complex Variables: Second Edition
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DOI：
10.1090/chel/340
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发表时间：
2001-01
期刊：
影响因子：
--
通讯作者：
S. Krantz
中科院分区：
文献类型：
--
作者：
S. Krantz
这项工作从早期治疗的主题，强调积分公式，几何理论的pseudoconvacuity，估计，偏微分方程，逼近理论，边界行为的全纯函数，内部功能，不变度量，和映射理论。虽然适当的敬意是支付给更传统的代数理论（例如，层，和Cousin问题），学生与背景的真实的和复变理论，调和分析，和微分方程应该是最舒适的这种待遇。
This work departs from earlier treatments of the subject by emphasizing integral formulas, the geometric theory of pseudoconvexity, estimates, partial differential equations, approximation theory, the boundary behavior of holomorphic functions, inner functions, invariant metrics, and mapping theory. While due homage is paid to the more traditional algebraic theory (for example, sheaves, and Cousin problems), the student with a background in real and complex variable theory, harmonic analysis, and differential equations should be most comfortable with this treatment.