Vol. 165, No. 1, 1994

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Interpolation submanifolds of the unitary group

Yeren Xu

Vol. 165 (1994), No. 1, 181–205
Abstract

An interpolation subset in the boundary of a domain is a closed set in which every continuous (or smooth) function can be extended as a holomorphic function inside the domain and continuous (or smooth, respectively) up to the boundary. In this paper we give some geometric description for submanifolds in the unitary group to be interpolation sets for the domain obtained by taking polynomial hull of the unitary group. In particular, we retrieved corresponding results on the polydisc.

Mathematical Subject Classification 2000
Primary: 32E25
Secondary: 32A40
Milestones
Received: 3 April 1992
Revised: 23 October 1992
Published: 1 September 1994
Authors
Yeren Xu