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Estimate of the second term in the spectral asymptotic of Cauchy transform
Authors:Milutin R. Dostani?
Affiliation:Matemati?ki fakultet, Studentski trg 16, 11000 Beograd, Serbia
Abstract:We give the best possible (respecting to order) estimate of the remainder term in spectral asymptotics of the Cauchy operator and the logarithmic potential type operator. Also, we state a conjecture on the exact value of the remainder term.
Keywords:Cauchy transform   Singular values   Dirichlet Laplacian   Weyl formula
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