Abstract:
We obtain rigorous results concerning the evaluation of integrals on the two-sphere using complex methods. It is shown that for regular as well as singular functions which admit poles, the integral can be reduced to the calculation of residues through a limiting procedure. © 1997 American Institute of Physics.
Registro:
Documento: |
Artículo
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Título: | Integrating singular functions on the sphere |
Autor: | Dickenstein, A.; Iriondo, M.S.; Rojas, T.A. |
Filiación: | Dto. de Matemática, FCE y N, UBA, Ciudad Universitaria, Pab. 1, 1428 Buenos Aires, Argentina FaMAF, Medina Allende y Haya de la Torre, Ciudad Universitaria, 5000 Córdoba, Argentina
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Año: | 1997
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Volumen: | 38
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Número: | 10
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Página de inicio: | 5361
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Página de fin: | 5370
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DOI: |
http://dx.doi.org/10.1063/1.531947 |
Título revista: | Journal of Mathematical Physics
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Título revista abreviado: | J. Math. Phys.
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ISSN: | 00222488
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v38_n10_p5361_Dickenstein |
Referencias:
- Herrera, M., Liebermann, D., Residues and Principal Values on Complex Spaces (1971) Math. Ann., 194, pp. 259-274
- Lang, S., (1985) Complex Analysis. Graduate Texts in Mathematics 103, , Springer-Verlag, New York
- Dolbeault, P., (1990) Analyse Complexe. Collection Maîtrise de Mathématiques Pures, , Masson, Paris
- Dickenstein, A.M., Residues and ideals (1992) Aport. Matemát. Notas Invest., 5, pp. 3-19
Citas:
---------- APA ----------
Dickenstein, A., Iriondo, M.S. & Rojas, T.A.
(1997)
. Integrating singular functions on the sphere. Journal of Mathematical Physics, 38(10), 5361-5370.
http://dx.doi.org/10.1063/1.531947---------- CHICAGO ----------
Dickenstein, A., Iriondo, M.S., Rojas, T.A.
"Integrating singular functions on the sphere"
. Journal of Mathematical Physics 38, no. 10
(1997) : 5361-5370.
http://dx.doi.org/10.1063/1.531947---------- MLA ----------
Dickenstein, A., Iriondo, M.S., Rojas, T.A.
"Integrating singular functions on the sphere"
. Journal of Mathematical Physics, vol. 38, no. 10, 1997, pp. 5361-5370.
http://dx.doi.org/10.1063/1.531947---------- VANCOUVER ----------
Dickenstein, A., Iriondo, M.S., Rojas, T.A. Integrating singular functions on the sphere. J. Math. Phys. 1997;38(10):5361-5370.
http://dx.doi.org/10.1063/1.531947