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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A residual radial limit zero set


Author: Michael C. Fulkerson
Journal: Proc. Amer. Math. Soc. 137 (2009), 3725-3731
MSC (2000): Primary 32A40
Published electronically: June 15, 2009
MathSciNet review: 2529880
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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.


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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

DOI: http://dx.doi.org/10.1090/S0002-9939-09-10034-5
PII: S 0002-9939(09)10034-5
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
Article copyright: © Copyright 2009 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.