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

Restrictions of analytic functions. III


Authors: Marvin Rosenblum and James Rovnyak
Journal: Proc. Amer. Math. Soc. 52 (1975), 222-226
MSC: Primary 47B35; Secondary 30A78, 42A40
MathSciNet review: 0399926
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Abstract: Characterizations are given of all real and all pure imaginary functions on a real Borel set which occur as restrictions of boundary functions of functions holomorphic and having positive imaginary part in the upper half-plane.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1975-0399926-2
PII: S 0002-9939(1975)0399926-2
Keywords: Hilbert transform, analytic function with positive imaginary part, exponential representation
Article copyright: © Copyright 1975 American Mathematical Society