A decomposition theorem for planar harmonic mappings
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- by Peter Duren and Walter Hengartner PDF
- Proc. Amer. Math. Soc. 124 (1996), 1191-1195 Request permission
Abstract:
A necessary and sufficient condition is found for a complex-valued harmonic function to be decomposable as an analytic function followed by a univalent harmonic mapping.References
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Additional Information
- Peter Duren
- Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109
- Email: duren@umich.edu
- Walter Hengartner
- Affiliation: Département de Mathématiques, Université Laval, Québec, P.Q., Canada G1K 7P4
- Email: walheng@mat.ulaval.ca
- Received by editor(s): October 10, 1994
- Communicated by: Albert Baernstein II
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 1191-1195
- MSC (1991): Primary 30C99; Secondary 31A05, 30C65
- DOI: https://doi.org/10.1090/S0002-9939-96-03319-9
- MathSciNet review: 1327008