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Complex variables: single v several

, 1996
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Several Complex Variables

2000
Several Complex Variables is a central area of mathematics with strong interactions with partial differential equations, algebraic geometry, number theory, and differential geometry. The 1995–1996 MSRI program on Several Complex Variables emphasized these interactions and concentrated on developments and problems of interest that capitalize on this ...
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The Schwarzian derivative in several complex variables IV

Science in China Series A: Mathematics, 1998
The authors consider the Schwarzian derivative of a holomorphic \(n\times n\) matrix mapping \(W\) of an \(n\times n\) matrix variable \(Z\) along the direction \(Z\) and receive a necessary and sufficient condition of the transformation of this derivative to zero. [Part I: \textit{S. Gong} and \textit{C. H. FitzGerald}, Sci. China, Ser. A 36, No.
Gong, Sheng, Yu, Qihuang, Zheng, Xuean
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Several Complex Variables and Complex Manifolds I

1982
This self-contained and relatively elementary introduction to functions of several complex variables and complex (especially compact) manifolds was first published in 1982. It was intended be a synthesis of those topics and a broad introduction to the field.
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Several Complex Variables and Complex Geometry

1991
David E Barrett, Uniqueness for the Dirilchlet problem for harmonic maps from the annulus into the space of planar discs Steve Bell, CR maps between hypersurfaces in Cn Carlos A Berenstein and Alain Yger, Bounds for the degrees in polynomial equations Thomas Bloom, Lagrange interpolants for entire functions on cn Urban Cegrell, An inequality for ...
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Angular Derivatives in Several Complex Variables

2004
1. Introduction 2. One Complex Variable 3. Julia’s Lemma 4. Lindelof Principles 5.
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Chapter 9 Several Complex Variables

2013
Throughout the nineteenth century and well into the twentieth the study of complex functions of several variables posed a challenge to the experts in the function theory of a single variable. As we have seen in Chap. 6, the prospect of creating a theory of Abelian functions was one that Weierstrass continually had in mind; it was the ultimate goal of ...
Umberto Bottazzini, Jeremy Gray
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Functions of Several Complex Variables

1985
In this chapter, we shall define holomorphic functions of several complex variables. The essentially local theory given in Chapter 1, §§3, 4 extends to these functions with little effort. We shall then prove two theorems which show that the behavior of functions of n complex variables, with n > 1, is, in some ways, radically different from that of ...
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Functions of Several Complex Variables

The American Mathematical Monthly, 1945
(1945). Functions of Several Complex Variables. The American Mathematical Monthly: Vol. 52, No. 1, pp. 17-27.
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