Functions of Several Complex Variables

Raghavan Narasimhan and Yves Nievergelt
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Raghavan Narasimhan: University of Chicago, Department of Mathematics
Yves Nievergelt: Eastern Washington University, Department of Mathematics

Chapter Chapter 8 in Complex Analysis in One Variable, 2001, pp 151-160 from Springer

Abstract: 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.

Keywords: Compact Subset; Complex Variable; Analytic Continuation; Real Hypersurface; Bergman Kernel (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-0175-5_8

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DOI: 10.1007/978-1-4612-0175-5_8

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