Geodesic
On an analog of the Runge theorem for harmonic differential forms
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 24, Tome 232 (1996), pp. 109-117 
S. R. Dager; S. A. Presa. On an analog of the Runge theorem for harmonic differential forms. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 24, Tome 232 (1996), pp. 109-117. http://geodesic.mathdoc.fr/item/ZNSL_1996_232_a7/
@article{ZNSL_1996_232_a7,
     author = {S. R. Dager and S. A. Presa},
     title = {On an analog of the {Runge} theorem for harmonic differential forms},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {109--117},
     year = {1996},
     volume = {232},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1996_232_a7/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

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.