Geodesic
Approximation by (Pluri) Subharmonic Functions: Fusion and Localization
Canadian journal of mathematics, Tome 44 (1992) no. 5, pp. 941-950

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Let u1 and u2 be subharmonic (plurisubharmonic) on overlapping sets K1 and K2 respectively. We seek to approximate u1 and u2 simultaneously by a single subharmonic (plurisubharmonic) function u.
DOI : 10.4153/CJM-1992-058-x
Mots-clés : Primary: 32F05, secondary: 31B05 
Gauthier, P.M. Approximation by (Pluri) Subharmonic Functions: Fusion and Localization. Canadian journal of mathematics, Tome 44 (1992) no. 5, pp. 941-950. doi: 10.4153/CJM-1992-058-x
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[BB] Bagby, T. and Blanchet, P., Uniform harmonic approximation on Riemannian manifolds, J. d'Analyse Math., to appear. Google Scholar

[BH] Bliedtner, J. and Hansen, W., Simplicial cones in potential theory II (approximation theorems), Invent. Math.. 46(1978), 255–275. Google Scholar

[FW] Fornaess, J.E. and Wiegerinck, J., Approximation of plurisubharmonic functions, Ark. Math.. 27(1989), 257–272. Google Scholar

[G] Gauthier, P.M., Subharmonic extensions and approximations, preprint. Google Scholar

[GH] Gauthier, P.M. and Hengartner, W., Approximation uniforme qualitative sur des ensembles non bornés, Presses Univ. Montréal, 1982. Google Scholar

[GL] Gauthier, P.M. and Ladouceur, S., Uniform approximation and fine potential theory, J. Approx. Theory, to appear. Google Scholar

[R] Roth, A., Uniform and tangential approximation by meromorphicfunctions on closed sets, Canad. J. Math.. 28(1976), 104–111. Google Scholar

[WZ] Wilson, J.M. and Zwick, D., Best approximation by subharmonic functions, preprint. Google Scholar

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