Residues and principal values on complex spaces
Let ξ and θ be smooth differential forms with compact support, of dimensions 2n and 2n-1, respectively, defined on an open set W in Cn, and let φ be any holomorphic function defined on W. We prove in this paper that the limits [fórmula] exist, where |φ| denotes the absolute value of φ, and relate th...
Guardado en:
| Autores principales: | , |
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| Formato: | Articulo |
| Lenguaje: | Inglés |
| Publicado: |
1971
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| Materias: | |
| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/141650 |
| Aporte de: |
| Sumario: | Let ξ and θ be smooth differential forms with compact support, of dimensions 2n and 2n-1, respectively, defined on an open set W in Cn, and let φ be any holomorphic function defined on W. We prove in this paper that the limits [fórmula] exist, where |φ| denotes the absolute value of φ, and relate them to the topology of the variety φ=0 and its complement in W. |
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