Classification of Harmonic Functions in the Exterior of a Unit Sphere and Its Application to the Description of the External Magnetic Field of the Earth-Reference-Cited by-同舟云学术

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Classification of Harmonic Functions in the Exterior of a Unit Sphere and Its Application to the Description of the External Magnetic Field of the Earth

Published:2019-11 Issue:6 Volume:59 Page:752-760
ISSN:0016-7932
Container-title:Geomagnetism and Aeronomy
language:en
Short-container-title:Geomagn. Aeron.

Author:

Akhmet’ev P. M.,Petrov A. V.

Publisher

Pleiades Publishing Ltd

Subject

Space and Planetary Science,Geophysics

Link

http://link.springer.com/content/pdf/10.1134/S0016793219060021.pdf

Reference12 articles.

1. Akhmetev, P.M., Application of singularity theory for statistics of paleomagnetic data, Geomagn. Aeron. (Engl. Transl.), 2013, vol. 53, no. 6, pp. 804–808.

2. Akhmetev, P.M. and Khokhlov, A.V., Classification of harmonic functions in the exterior of the unit ball, Math. Notes, 2004, vol. 75, nos. 1–2, pp. 166–174.

3. Backus, G., Non-uniqueness of the external geomagnetic field determined by surface intensity measurements, J. Geophys. Res., 1970, vol. 75, pp. 6339–6341.

4. Kaiser, R., The geomagnetic direction problem: The two-dimensional and the three-dimensional axisymmetric cases, SIAM J. Math. Anal., 2010, vol. 42, pp. 701–728.

5. Kaiser, R., Uniqueness and nonuniqueness in the non-axisymmetric direction problem, Q. J. Mech. Appl. Math., 2012, vol. 65, no. 3, pp. 347–360.

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