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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A note on analytic measures


Author: Paul S. Muhly
Journal: Proc. Amer. Math. Soc. 42 (1974), 330-331
MSC: Primary 22D12; Secondary 30A98, 46J15
MathSciNet review: 0374331
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Abstract: A corollary to Forelli's generalization of the F. and M. Riesz theorem is proved. It extends Bochner's result concerning the absolute continuity of measures on the torus whose Fourier-Stieltjes coefficients vanish outside a sector of opening less than $ \pi $.


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DOI: https://doi.org/10.1090/S0002-9939-1974-0374331-2
Article copyright: © Copyright 1974 American Mathematical Society