Proceedings of the American Mathematical Society

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

 

 

On a uniqueness problem in the theory of linear integral equations


Author: Robert R. Stevens
Journal: Proc. Amer. Math. Soc. 49 (1975), 95-103
MSC: Primary 45A05; Secondary 26A42
MathSciNet review: 0387987
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Abstract: The primary purpose of this paper is to give sufficient conditions for a function $ G$ which ensure that if $ \int_0^1 {f(xt)G(t)dt = 0} $ a.e. in $ (0, 1)$ then the function $ f$ is zero almost everywhere in $ (0, 1)$. Several applications are given.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1975-0387987-6
Article copyright: © Copyright 1975 American Mathematical Society