Holomorphic Functions

Junjiro Noguchi ()
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Junjiro Noguchi: The University of Tokyo

Chapter Chapter 1 in Analytic Function Theory of Several Variables, 2016, pp 1-32 from Springer

Abstract: Abstract We recall some basics from complex function theory in one variable, and then define holomorphic functions in several variables. We explain Hartogs’ phenomenon, which is a special property in several variables caused by the increase in the number of variables from a single variable. We will see that the concept of “holomorphic convexity” arises naturally. In the last section, the notion of a sheaf will be introduced.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-10-0291-5_1

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DOI: 10.1007/978-981-10-0291-5_1

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