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Zapiski Nauchnykh Seminarov POMI, 1996, Volume 232, Pages 109–117
(Mi znsl3679)
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On an analog of the Runge theorem for harmonic differential forms
S. R. Dager, S. A. Presa Departamento de Matemática, Universidad de Oriente, Santiago de Cuba, Cuba
Abstract:
For harmonic differential forms in an open subset of $\mathbb R^n$ (they are regarded as a generalization of the analytic functions for $n=2$), an analog of the classical Runge theorem is formulated. Harmonic forms with point singularities are introduced, and a theorem on the “balayage” of the poles is proved. An integral representation formula similar to the Cauchy formula is constructed. Bibl. 5 titles.
Received: 12.11.1995
Citation:
S. R. Dager, S. A. Presa, “On an analog of the Runge theorem for harmonic differential forms”, Investigations on linear operators and function theory. Part 24, Zap. Nauchn. Sem. POMI, 232, POMI, St. Petersburg, 1996, 109–117; J. Math. Sci. (New York), 92:1 (1998), 3613–3618
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https://www.mathnet.ru/eng/znsl3679 https://www.mathnet.ru/eng/znsl/v232/p109
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Abstract page: | 140 | Full-text PDF : | 62 |
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