Geodesic
Cauchy’s Problem for Harmonic Functions with Entire Data on a Sphere
Canadian mathematical bulletin, Tome 40 (1997) no. 1, pp. 60-66

Voir la notice de l'article provenant de la source Cambridge University Press

We give an elementary potential-theoretic proof of a theorem of G. Johnsson: all solutions of Cauchy’s problems for the Laplace equations with an entire data on a sphere extend harmonically to the whole space RN except, perhaps, for the center of the sphere.
DOI : 10.4153/CMB-1997-007-3
Mots-clés : 35B60, 31B20, harmonic functions, Cauchy’s problem, homogeneous harmonics 
Khavinson, Dmitry. Cauchy’s Problem for Harmonic Functions with Entire Data on a Sphere. Canadian mathematical bulletin, Tome 40 (1997) no. 1, pp. 60-66. doi: 10.4153/CMB-1997-007-3
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