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Gauthier, P. M. Subharmonic Extensions and Approximations. Canadian mathematical bulletin, Tome 37 (1994) no. 1, pp. 46-53. doi: 10.4153/CMB-1994-008-3
@article{10_4153_CMB_1994_008_3,
author = {Gauthier, P. M.},
title = {Subharmonic {Extensions} and {Approximations}},
journal = {Canadian mathematical bulletin},
pages = {46--53},
year = {1994},
volume = {37},
number = {1},
doi = {10.4153/CMB-1994-008-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-008-3/}
}
[1] 1. Anandam, V., Théorie du potentiel dans un espace harmonique sans potentiel positif, Mathématiques, Bull. Sect. Sci. 3(1981), 7–36. Google Scholar
[2] 2. Anandam, V., Subharmonic functions outside a compact set in Rn, Proc. Amer. Math. Soc. 84(1982), 52–54. Google Scholar
[3] 3. Anandam, V., Superharmonic extensions and the flux, Bull. Sci. Math. 106(1982), 85–92. Google Scholar
[4] 4. Armitage, D. H., On the extension of superharmonic functions, J. London Math. Soc. (2) 4(1971), 215–230. Google Scholar
[5] 5. Aronsjajn, N., A unique continuation theorem for solutions of elliptic equations or inequalities of second order, J. Math. Pure Appl. 36(1957), 235–249. Google Scholar
[6] 6. Bagby, T. and Blanchet, P., Uniform harmonic approximation on Riemannian manifolds, J. d'Analyse Math., to appear. Google Scholar
[7] 7. Bauer, H., Harmonische Rdume und ihre Potentialtheorie, SLN 22, Springer-Verlag, Heidelberg, 1966. Google Scholar
[8] 8. Bensouda, Ch., Thèse, Université de Montréal, en rédaction. Google Scholar
[9] 9. Bliedtner, J. and Hansen, W., Simplicial cones in potential theory, Invent. Math. 29(1975), 83–110. Google Scholar
[10] 10. Bliedtner, J. and Hansen, W., Simplicial cones in potential theory II, Invent. Math. 46(1978), 255–275. Google Scholar
[11] 11. Brelot, M., Lectures on Potential Theory, Tata Institute, Bombay, 1960. Google Scholar
[12] 12. Chen, H. and Gauthier, P. M., A maximum principle for subharmonic and plurisubharmonic functions, Canad. Math. Bull 35(1992), 1–6. Google Scholar
[13] 13. Debiard, A. and Gaveau, B., Potentiel fin et algèbres de fonctions analytiques I, J. Funct. Anal. 16(1974), 289–304. Google Scholar
[14] 14. Fornaess, J. E. and Wiegerinck, J., Approximation of plurisubharmonic functions, Ark. Mat. 27(1989), 257–272. Google Scholar
[15] 15. P. M. Fornaess, J. E. and Wiegerinck, J. Gauthier, Approximation by (pluri)subharmonicfunctions : fusion and localization, Canad. J. Math. 44(1992), 941–950. Google Scholar
[16] 16. Gauthier, P. M., Goldstein, M. and Ow, W. H., Uniform approximation on closed sets by harmonie functions with Newtonian singularities, J. London Math. Soc. (2) 28(1983), 71–82. Google Scholar
[17] 17. Gauthier, P. M. and Ladouceur, S., Uniform approximation and fine potential theory, J. Approx. Theory 72(1993), 138–140. Google Scholar
[18] 18. Guessous, H., Prolongement surharmonique dans un espace harmonique, Notion du flux. Potential Theory, Copenhagen 1979, SLN 787, 121-143, Springer-Verlag, Heidelberg, 1980. Google Scholar
[19] 19. de, A. la Pradelle, Approximation et caractère de quasi-analyticité dans la théorie axiomatique des fonctions harmoniques, Ann. Inst. Fourier 17(1967), 383–399. Google Scholar
[20] 20. Lax, P., A stability theorem for abstract differential equations and its application to the study of the local behavior of solutions of elliptic equations, Commun. Pure Appl. Math. 9(1956), 747–766. Google Scholar
[21] 21. Miranda, C., Partial Differential Equations of Elliptic Type, 2nd. éd., Springer-Verlag, Heidelberg, 1970. Google Scholar
[22] 22. Narasimhan, R., Analysis on Real and Complex Manifolds, North-Holland, Amsterdam, 1968. Google Scholar
[23] 23. Paramonov, P. V., On harmonic approximation in theC1 -norm, Mat. Sb. 181(1990), 1341–1365; English transi, in Math. USSR Sbornik 71(1992), 183–207. Google Scholar
[24] 24. Premalatha, M., On a superharmonic extension, Rev. Roum. Math. Pures Appl. 26( 1981 ), 631–640. Google Scholar
[25] 25. Sario, L., Nakai, M., Wang, C. and Chung, L. O., Classification Theory of Riemannian Manifolds, SLN 605, Springer-Verlag, Heidelberg, 1977. Google Scholar
[26] 26. Shirinbekov, M., On Hartogs compacts of holomorphy, Mat. Sb. 115( 1981 ), 453-462; English transi, in Math. USSR Sbornik 43(1982), 403–411. Google Scholar
[27] 27. Shirinbekov, M., Private communication, 1990. Google Scholar
[28] 28. Walsh, J. L., The approximation of harmonic functions by harmonic polynomials and by harmonic rational functions, Bull. Amer. Math. Soc. 35(1929), 499–544. Google Scholar
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