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On the distributions of boundary values
of Cauchy integrals

Author: Alexei G. Poltoratski
Journal: Proc. Amer. Math. Soc. 124 (1996), 2455-2463
MSC (1991): Primary 30E20, 30D55; Secondary 42A50
MathSciNet review: 1327037
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Abstract: We use new methods to give short proofs to some known results on the distributions of boundary values of Cauchy integrals. We also indicate some further generalizations.

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Additional Information

Alexei G. Poltoratski
Affiliation: Department of Mathematics 253-37, California Institute of Technology, Pasadena, California 91125

Keywords: Cauchy integral, conjugate functions, singular measures
Received by editor(s): July 27, 1994
Received by editor(s) in revised form: February 24, 1995
Communicated by: Theodore W. Gamelin
Article copyright: © Copyright 1996 American Mathematical Society