Geodesic
Traces of functions from $H^{\infty}(\mathbb B^n)$ on certain sets of hyperplanes
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XIV, Tome 141 (1985), pp. 183-191

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One considers necessary and sufficient conditions in order that a collection of sections of a ball in $\mathbb C^n$ by hyperplanes be the set of zeros or the interpolation set for functions of class $H^{\infty}$ in the ball. 
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     author = {N. A. Shirokov},
     title = {Traces of functions from $H^{\infty}(\mathbb B^n)$ on certain sets of hyperplanes},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {183--191},
     publisher = {mathdoc},
     volume = {141},
     year = {1985},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1985_141_a12/}
}
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N. A. Shirokov. Traces of functions from $H^{\infty}(\mathbb B^n)$ on certain sets of hyperplanes. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XIV, Tome 141 (1985), pp. 183-191. http://geodesic.mathdoc.fr/item/ZNSL_1985_141_a12/