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) |
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| 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: | https://fse.studenttheses.ub.rug.nl/id/eprint/11443 |
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