On the Eigenvalues of Integral Operators

Authors : Yüksel SOYKAN

Pages : 177-185

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Publication Date : 2006-06-01

Article Type : Research Paper

Abstract :Bu çalışmada bazı positive integral operatörlerin özdeğerlerinin asimtotik yaklaşımlarını elde edeceğizFrom now on, let J be a fixed closed subinterval of the real line R. Suppose that D is a simply-connected domain containing the real closed interval J and ϕ is any function, which maps D conformally onto ∆, where ∆ is the open unit disk of complex plane C. Let us define a function KD on D x D by for either of the branches of The function KD is independent of the choice of mapping function ϕ, see [1, p.410]. By restricting the function KD to the square JxJ we obtain a compact symmetric operator TD on L2 defined by
Keywords : Pozitif İntegral Operatörleri, Özdeğerler, Hardy Uzayları