Integrating singular functions on the sphere

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Oct 1997Embargo end date: 01 Jan 1999 English Publisher:AIP PublishingJournal:Journal of Mathematical Physics, volume 38, pages 5,361-5,370 (issn: 0022-2488, eissn: 1089-7658,

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Authors: Dickenstein, Alicia; Iriondo, Mirta Susana; Rojas, Teresita Alejandra;

doi: 10.1063/1.531947 , 10.48550/arxiv.gr-qc/9902013

arXiv: gr-qc/9902013

Integrating singular functions on the sphere

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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.

Keywords

residues, two-sphere, Integration on analytic sets and spaces, currents, integrating singular functions, Meromorphic functions of several complex variables, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), General Relativity and Quantum Cosmology

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