Some remarks on weakly singular integral operators |
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Authors: | H. König |
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Affiliation: | (1) Institut für Angewandte Mathematik, Universität Bonn, Wegelerstraße 6, D-5300 Bonn, Germany |
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Abstract: | The eigenvalues n of weakly singular integral operators, the order of singularity of the kernel of which is one half of the dimension of the domain, are shown to be of order O((1n(n+1)/n1/2). There are convolution operators which demonstrate that this order cannot be improved in general.Research supported by the SFB 72 at the University of Bonn |
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