Representation of kernels of integral operators by bilinear series
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Publication:1058718
DOI10.1007/BF00968691zbMath0565.47017MaRDI QIDQ1058718
Publication date: 1984
Published in: Siberian Mathematical Journal (Search for Journal in Brave)
compact linear operatorits kernel has an absolutely and uniformly convergent bilinear serieskernels of integral operators
Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Linear operators on function spaces (general) (47B38) Abstract integral equations, integral equations in abstract spaces (45N05)
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Positive integral operators in unbounded domains ⋮ Eigenvalues of positive definite integral operators on unbounded intervals ⋮ Eigenvalue decay rates for positive integral operators ⋮ Sparsified randomization algorithms for low rank approximations and applications to integral equations and inhomogeneous random field simulation ⋮ Expansion of random boundary excitations for elliptic PDEs ⋮ Positive-definiteness, integral equations and Fourier transforms
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