Totally real sets in $\textbf {C}^ 2$
HTML articles powered by AMS MathViewer
- by H. Alexander PDF
- Proc. Amer. Math. Soc. 111 (1991), 131-133 Request permission
Abstract:
We establish the polynomial convexity of certain totally real disks and of annuli in the unit torus satisfying a topological condition.References
- B. Jöricke, Removable singularities of CR-functions, Ark. Mat. 26 (1988), no. 1, 117–143. MR 948284, DOI 10.1007/BF02386112
- Guido Lupacciolu, A theorem on holomorphic extension of CR-functions, Pacific J. Math. 124 (1986), no. 1, 177–191. MR 850675, DOI 10.2140/pjm.1986.124.177
- Ricardo Nirenberg and R. O. Wells Jr., Approximation theorems on differentiable submanifolds of a complex manifold, Trans. Amer. Math. Soc. 142 (1969), 15–35. MR 245834, DOI 10.1090/S0002-9947-1969-0245834-9
- Jean-Pierre Rosay and Edgar Lee Stout, Radó’s theorem for CR-functions, Proc. Amer. Math. Soc. 106 (1989), no. 4, 1017–1026. MR 964461, DOI 10.1090/S0002-9939-1989-0964461-7
- Edwin H. Spanier, Algebraic topology, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1966. MR 0210112
- Gabriel Stolzenberg, Polynomially and rationally convex sets, Acta Math. 109 (1963), 259–289. MR 146407, DOI 10.1007/BF02391815
- Edgar Lee Stout, Analytic continuation and boundary continuity of functions of several complex variables, Proc. Roy. Soc. Edinburgh Sect. A 89 (1981), no. 1-2, 63–74. MR 628129, DOI 10.1017/S0308210500032364
Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 111 (1991), 131-133
- MSC: Primary 32E20
- DOI: https://doi.org/10.1090/S0002-9939-1991-1031447-5
- MathSciNet review: 1031447