## A peak set of Hausdorff dimension $$2n-1$$ for the algebra $$A(D)$$ in the boundary of a domain $$D$$ with $$C^\infty$$-boundary in $$\mathbb C^n$$.(English)Zbl 0483.32011

### MSC:

 32E35 Global boundary behavior of holomorphic functions of several complex variables 32A38 Algebras of holomorphic functions of several complex variables 32T99 Pseudoconvex domains

### Keywords:

peak set; strictly pseudoconvex domain; pic
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### References:

 [1] Arnold, V.I.: Ordinary differential equations. Cambridge, M.A., London: MIT 1973 · Zbl 0296.34001 [2] Chaumat, J., Chollet, A.-M.: Ensembles pics pourA ? D?F replications. Universit? de Paris-Sud, Orsay · Zbl 0398.32004 [3] Federer, H.: Geometric measure theory. Berlin, Heidelberg, New York: Springer 1969 · Zbl 0176.00801 [4] Folland, G.B., Kohn, J.J.: The Neumann problem for the Cauchy-Riemann complex. Annals of mathematics studies. Princeton: Princeton University Press 1972 · Zbl 0247.35093 [5] Fornaess, J.E.: Embedding strictly pseudoconvex domains in convex domains. Am. J. Math.98, (1976) · Zbl 0334.32020 [6] Tumanov, A.E.: A peak set for the disc algebra of metric dimension 2.5 in the three-dimensional unit sphere. Math. USSR Izv.11, (1977) · Zbl 0379.46048 [7] Wermer, J.: Banach algebras and several complex variables. Markham 1971 · Zbl 0281.46052
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