Geodesic
On the Hartogs-type series for harmonic functions on Hartogs domains in $ℝ^n × ℝ^m$, m ≥ 2
Annales Polonici Mathematici, Tome 71 (1999) no. 2, pp. 151-160
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We study series expansions for harmonic functions analogous to Hartogs series for holomorphic functions. We apply them to study conjugate harmonic functions and the space of square integrable harmonic functions.
DOI : 10.4064/ap-71-2-151-160
Keywords: harmonic functions, harmonic polynomials, spherical harmonics, conjugate harmonic functions 
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     title = {On the {Hartogs-type} series for harmonic functions on {Hartogs} domains in $\ensuremath{\mathbb{R}}^n {\texttimes} \ensuremath{\mathbb{R}}^m$, m \ensuremath{\geq} 2},
     journal = {Annales Polonici Mathematici},
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Ewa Ligocka. On the Hartogs-type series for harmonic functions on Hartogs domains in $ℝ^n × ℝ^m$, m ≥ 2. Annales Polonici Mathematici, Tome 71 (1999) no. 2, pp. 151-160. doi: 10.4064/ap-71-2-151-160

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