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Proceedings of the American Mathematical Society

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

 
 

 

Dirichlet finite solutions of $ \Delta u=Pu$


Author: Ivan J. Singer
Journal: Proc. Amer. Math. Soc. 32 (1972), 464-468
MSC: Primary 30A48
DOI: https://doi.org/10.1090/S0002-9939-1972-0344452-7
MathSciNet review: 0344452
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Abstract: The purpose of this paper is to give a necessary and also a sufficient condition for a Dirichlet finite harmonic function on a Riemann surface to be represented as a difference of a Dirichlet finite solution of $ \Delta u = Pu(P \geqq 0)$ and a Dirichlet finite potential of signed measure.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0344452-7
Article copyright: © Copyright 1972 American Mathematical Society

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