On the Hartogs-type series for harmonic functions on Hartogs domains in $ℝ^n × ℝ^m$, m ≥ 2

Ewa Ligocka

ArticleOriginal scientific text

Title

On the Hartogs-type series for harmonic functions on Hartogs domains in $ℝ^{n} \times ℝ^{m}$ , m ≥ 2

Authors ¹

Affiliations

Department of Mathematics, Informatics and Mechanics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

Abstract

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.

Keywords

ENG

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 ℝn×ℝm, m ≥ 2

Affiliations

Abstract

Keywords

Bibliography

On the Hartogs-type series for harmonic functions on Hartogs domains in $ℝ^{n} \times ℝ^{m}$ , m ≥ 2