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The partial Legendre transformation for plurisubharmonic functions. (English) Zbl 0378.32010


MSC:

32U05 Plurisubharmonic functions and generalizations
32T99 Pseudoconvex domains
31C10 Pluriharmonic and plurisubharmonic functions
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References:

[1] Ioffe, A.D., Tihomirov, V.M.: Duality of convex functions and extremum problems. (Russian) Uspehi Mat. Nauk23, 51-116 (1968). Translated in Russian. Math. Surveys23, 53-124 (1968)
[2] Kiselman, C.O.: On entire functions of exponential type and indicators of analytic functionals. Acta Math.117, 1-35 (1967) · Zbl 0152.07602 · doi:10.1007/BF02395038
[3] Kiselman, C.O.: On the radius of convergence of an entire function in a normed space. Ann. Polon. Math.33, 39-55 (1976) · Zbl 0339.46034
[4] Lelong, P.: Fonctionelles analytiques et fonctions entières (n variables). Cours d’été 1967. Les Presses de l’Université de Montréal, 1968
[5] Rockafellar, R.T.: Convex Analysis. Princeton University Press 1970 · Zbl 0193.18401
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