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.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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

Ewa Ligocka 1

1 
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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. http://geodesic.mathdoc.fr/articles/10.4064/ap-71-2-151-160/

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