Vol. 293, No. 2, 2018

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ISSN: 0030-8730
Sums of CR functions from competing CR structures

David E. Barrett and Dusty E. Grundmeier

Vol. 293 (2018), No. 2, 257–275
DOI: 10.2140/pjm.2018.293.257
Abstract

We characterize sums of CR functions from competing CR structures in two scenarios. In one scenario the structures are conjugate and we are adding to the theory of pluriharmonic boundary values. In the second scenario the structures are related by projective duality considerations. In both cases we provide explicit vector field-based characterizations for two-dimensional circular domains satisfying natural convexity conditions.

Keywords
Pluriharmonic extension, circular hypersurfaces, projective duality
Mathematical Subject Classification 2010
Primary: 32V10
Milestones
Received: 9 May 2017
Revised: 8 September 2017
Accepted: 20 September 2017
Published: 23 November 2017
Authors
David E. Barrett
Dept. of Mathematics
University of Michigan Ann Arbor
Ann Arbor, MI 48109-1043
United States
Dusty E. Grundmeier
Dept. of Mathematics
Harvard University
1 Oxford St
Cambridge, MA 02138
United States