Analyticity of almost everywhere differentiable functions
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- by Eric J. Howard PDF
- Proc. Amer. Math. Soc. 110 (1990), 745-753 Request permission
Abstract:
We develop a partitioning lemma (see Lemma 5) for superadditive set functions satisfying certain continuity conditions. This leads to a relatively simple proof of two theorems of A. S. Besicovitch on when a function of a complex variable that is continuous and differentiable outside of small exceptional sets is analytic (or almost everywhere equal to an analytic function).References
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Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 110 (1990), 745-753
- MSC: Primary 26B05; Secondary 26E05, 30B40
- DOI: https://doi.org/10.1090/S0002-9939-1990-1027093-9
- MathSciNet review: 1027093