On an analog of the Runge theorem for harmonic differential forms

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.