Eigenvalues of integral operators onL 2(I) given by analytic kernels |
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| Authors: | S. Ganapathi Raman R. Vittal Rao |
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| Affiliation: | (1) Department of Mathematics, Indian Institute of Science, 560012 Bangalore, India |
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| Abstract: | Let { n}n=0 be the eigenvalue sequence of a symmetric Hilbert-Schmidt operator onL2(I). WhenI is an open interval, a necessary condition for {n}n=0 to be in the sequence space  is obtained. WhenI is a closed bounded interval, sufficient conditions for {n}n=0 to be in the sequence space  – are obtained. |
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| Keywords: | 45C05 47A75 47G10 45P05 |
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