Some harmonic functions on Minkowski space
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- by P. F. Glezen and R. C. Penner PDF
- Proc. Amer. Math. Soc. 125 (1997), 1659-1665 Request permission
Abstract:
This note presents elementary geometric descriptions of several simple families of harmonic functions on the upper sheet of the unit hyperboloid in Minkowski three-space. As is briefly discussed here, these calculations grew out of an earlier attempt to construct Poincaré series on punctured surfaces using Minkowski geometry.References
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Additional Information
- P. F. Glezen
- Affiliation: Department of Mathematics, University of Southern California, Los Angeles, California 90089
- Address at time of publication: ISSC, Inc., One Market Plaza, San Francisco, California 94105
- R. C. Penner
- Affiliation: Department of Mathematics, University of Southern California, Los Angeles, California 90089
- MR Author ID: 137745
- Email: rpenner@mathi.usc.edu
- Received by editor(s): April 7, 1995
- Additional Notes: The second author was partially supported by the National Science Foundation
- Communicated by: Peter Li
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 1659-1665
- MSC (1991): Primary 30Cxx, 30Fxx
- DOI: https://doi.org/10.1090/S0002-9939-97-03545-4
- MathSciNet review: 1346976