Removable singularities for analytic or subharmonic functions |
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Authors: | Robert Kaufman and Jang-Mei Wu |
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Affiliation: | (1) Department of Mathematics, University of Illinois, 61 801 Urbana, Ill., USA |
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Abstract: | In this paper, results on removable singularities for analytic functions, harmonic functions and subharmonic functions by Besicovitch, Carleson, and Shapiro are extended. In each theorem, we need not assume thatf has the global property at any point, so we are able to allow dense sets of singularities. We do not state our results in terms of exceptional sets, but each one leads to a series of results implying that certain sets are removable for appropriate classes of functions. Partially supported by an NSF-Grant and an XL-Grant at Purdue respectively. |
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