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Positiveness of the Reproducing Kernel in the Space PD(R)

Published online by Cambridge University Press:  22 January 2016

Ivan J. Singer
Ivan J. Singer*
Affiliation:
Department of Mathematics, University of California
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An important problem in the study of the Hilbert space PD(R) of Dirichlet finite solutions of Δu = Pu on a Riemann surface R is to know the behavior of the reproducing kernel in PD(R). The main result of this paper is that the reproducing kernel is strictly positive.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 48 , December 1972 , pp. 67 - 72
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1972

References

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