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Functions of Several Complex Variables

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Complex Analysis in one Variable

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Abstract

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 functions of one variable.

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Authors and Affiliations

  1. Department of Mathematics, The University of Chicago, 5734 University Avenue, Chicago, IL, 60637, USA

    Professor Dr. Raghavan Narasimhan

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  1. Professor Dr. Raghavan Narasimhan
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© 1985 Springer Science+Business Media New York

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Narasimhan, R. (1985). Functions of Several Complex Variables. In: Complex Analysis in one Variable. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4757-1106-6_8

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  • DOI: https://doi.org/10.1007/978-1-4757-1106-6_8

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-0-8176-3237-3

  • Online ISBN: 978-1-4757-1106-6

  • eBook Packages: Springer Book Archive

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