Geodesic
On a Theorem of Privaloff
Canadian mathematical bulletin, Tome 10 (1967) no. 3, pp. 353-359

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

It is the object of this note to extend to general harmonic structures a theorem due to Privaloff [2] concerning the definition of harmonic functions. The notation is that of [8, 9, 10], where many of the definitions not given here will be found. 
Bullen, P. S. On a Theorem of Privaloff. Canadian mathematical bulletin, Tome 10 (1967) no. 3, pp. 353-359. doi: 10.4153/CMB-1967-032-9
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[1] 1. Bauer, H., Axiomatische Behandlung des Durichletschen Problems fűr elliptische und parabolische Differentialgleichungen. Math. Annalen, 146 (1966), 1-59. Google Scholar

[2] 2. Bauer, H., Propriètès fines des fonctions hyperharmoniques dans une thèorie axiomatiques du potentiel. Annales. Inst. Fourier, 15 (1966), 136-154. Google Scholar

[3] 3. Boboc, H., Constantinescu, C. and Cornea, A., On the Dirichlet problem in the axiomatic theory of harmonic functions. Nagoya Math. J. 23 (1966), 73-96. Google Scholar

[4] 4. Boboc, H., Constantinescu, C. and Cornea, A., Axiomatic theory of harmonic functions. Non-negative superharmonic functions. Annales. Inst. Fourier, 151 (1966), 283-312. Google Scholar

[5] 5. Boboc, H., Constantinescu, C. and Cornea, A., Axiomatic theory of harmonic functions. Balayage. Annales Inst. Fourier, 152 (1966), 37-70. Google Scholar

[6] 6. Brelot, M., Elèments de la théorie classique du potential. (Paris, 1959). Google Scholar

[7] 7. Brelot, M., Lectures on potential theory. (Bombay, 1960). Google Scholar

[8] 8. Bullen, P. S., A general Perron integral. Can. J. Math., 17 (1966), 17-30. Google Scholar

[9] 9. Bullen, P. S., A general Perron integral II. (to appear in Can. J. Math.). Google Scholar

[10] 10. Bullen, P. S., A general Perron integral III. MRC Technical Summar. Report, 696 (1966). Google Scholar

[11] 11. Dynkin, E. B., Markov processes. (New York, 1965). Google Scholar

[12] 12. Privaloff, I. I., Sur la definition d'une fonction harmonique. Comptes Rendus de l'acad. Sci. U. R. S. S., 31 (1944), 102-103. Google Scholar

[13] 13. Zygmund, A., Trigonometrical Series. (Cambridge, 1959). Google Scholar

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