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A geometric criterion for strong linear convexity. (English) Zbl 0435.32013

##### MSC:
 32F10 $$q$$-convexity, $$q$$-concavity 32E20 Polynomial convexity, rational convexity, meromorphic convexity in several complex variables 46F15 Hyperfunctions, analytic functionals
##### Keywords:
strongly linearly convex domain
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##### References:
 [1] L. A. Aizenberg, Sib. Mat. Zh.,8, No. 5, 1124–1142 (1967). [2] L. A. Aizenberg, Transactions of Scientific Seminars of the Leningrad Branch of the Mathematics Institute,81, 29–32 (1978). [3] V. M. Trutnev, in: Some Properties of Holomorphic Functions of Several Complex Variables [in Russian], Krasnoyarsk (1973), pp. 139–155. [4] A. G. Vitushkin, Contemporary Problems in Mathematics [in Russian], Vol. 4 (1975), pp. 5–12. [5] V. M. Trutnev, in: Holomorphic Functions of Several Complex Variables [in Russian], Krasnoyarsk (1972), pp. 139–152. [6] S. G. Gindikin and G. M. Khenkin, Funkts. Anal. Prilozhen.,12, No. 4, 6–23 (1978). [7] P. Levi, Concrete Problems in Functional Analysis [in Russian], Nauka, Moscow (1967).
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