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Multidimensional Residues applied on real integrals

Jansons, F.J. (2013) Multidimensional Residues applied on real integrals. Master's Thesis / Essay, Mathematics.

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Abstract

In this master thesis we investigate the possibilities of extending Cauchy's theorem to several complex variables. Most of the problems we meet during generalizing are of a topological nature. Local residues of a form $h/(f_1cdots f_n)dz$ over $cn{n}$ are defined as integrals over local cycles around the intersection points of $n$ hyperplanes $f_1=ldots=f_n=0$. In turns out that only cycles which are separable can be replaced as a sum of local cycles.

Item Type: Thesis (Master's Thesis / Essay)
Degree programme: Mathematics
Thesis type: Master's Thesis / Essay
Language: English
Date Deposited: 15 Feb 2018 07:55
Last Modified: 15 Feb 2018 07:55
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/11443

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