Conjugate Harmonic Functions in Euclidean Space: a Spherical Approach

Author:

Brackx Fred,De Schepper Hennie

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Analysis

Reference20 articles.

1. F. Brackx, R. Delanghe, On harmonic potential fields and the structure of monogenic functions, Zeit. Anal. Anw. 22 (2003), 261–273.

2. F. Brackx, B. De Knock, H. De Schepper and D. Eelbode, Some insights on the interplay between the Hilbert transform and conjugate harmonic functions, in: T. Tsimos et al. (eds), Proceedings of the ICNAAM 2005 Conference, Wiley Verlag — VCH, Weinheim, 2005, 915–917.

3. F. Brackx, R. Delanghe and F. Sommen, Clifford Analysis, Pitman Publishers, Boston-London-Melbourne, 1982.

4. F. Brackx, R. Delanghe and F. Sommen, On conjugate harmonic functions in Euclidean space, Math. Meth. Appl. Sci. 25 (2002), 1553–1562.

5. F. Brackx, H. De Schepper and D. Eelbode, A new Hilbert transform on the unit sphere in ℝm, to appear in Complex Variables and Elliptic Equations.

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