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Formal Laurent series in several variables
We explain the construction of fields of formal infinite series in several variables, generalizing the classical notion of formal Laurent series in one variable. Our discussion addresses the field operations for these series (addition, multiplication, and division), the composition, and includes an...
| Autores principales: | , |
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
| Publicado: |
Elsevier GmbH
2013
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| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4587312/ https://www.ncbi.nlm.nih.gov/pubmed/26478652 http://dx.doi.org/10.1016/j.exmath.2013.01.004 |
| Sumario: | We explain the construction of fields of formal infinite series in several variables, generalizing the classical notion of formal Laurent series in one variable. Our discussion addresses the field operations for these series (addition, multiplication, and division), the composition, and includes an implicit function theorem. |
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