Geodesic
Analytic continuation of functions from invariant subspaces in convex domains of the complex space
Izvestiya. Mathematics , Tome 62 (1998) no. 2, pp. 287-312

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We give conditions for the analytic continuation of functions from invariant subspaces in convex domains of a multi-dimensional complex space. In the case of one variable we establish a criterion for the analytic continuation for smooth convex domains. 
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     author = {A. S. Krivosheev},
     title = {Analytic continuation of functions from invariant subspaces in convex domains of the complex space},
     journal = {Izvestiya. Mathematics },
     pages = {287--312},
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     volume = {62},
     number = {2},
     year = {1998},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1998_62_2_a3/}
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A. S. Krivosheev. Analytic continuation of functions from invariant subspaces in convex domains of the complex space. Izvestiya. Mathematics , Tome 62 (1998) no. 2, pp. 287-312. http://geodesic.mathdoc.fr/item/IM2_1998_62_2_a3/