A residual radial limit zero set
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- by Michael C. Fulkerson PDF
- Proc. Amer. Math. Soc. 137 (2009), 3725-3731 Request permission
Abstract:
We construct a nonconstant holomorphic function on the unit ball in $\mathbb {C}^n$ having radial limit zero on a certain residual subset of the unit sphere.References
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Additional Information
- Michael C. Fulkerson
- Affiliation: Department of Mathematics, Mailstop 3368, Texas A&M University, College Station, Texas 77843
- Address at time of publication: Department of Mathematics and Statistics, University of Central Oklahoma, Edmond, Oklahoma 73034
- Email: mfulkerson@uco.edu
- Received by editor(s): December 23, 2008
- Published electronically: June 15, 2009
- Additional Notes: This paper is based on part of the author’s 2008 Ph.D. dissertation at Texas A&M University under the direction of Harold P. Boas.
- Communicated by: Mei-Chi Shaw
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 137 (2009), 3725-3731
- MSC (2000): Primary 32A40
- DOI: https://doi.org/10.1090/S0002-9939-09-10034-5
- MathSciNet review: 2529880