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On the eigenvalues and eigenfunctions of some integral operators

Vittal Rao, R and Sukavanam, N (1985) On the eigenvalues and eigenfunctions of some integral operators. In: Journal of Mathematical Analysis and Applications, 109 (2). pp. 463-471.

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Some properties of the eigenvalues of the integral operator Kgt defined as Kτf(x) = ∫0τK(x − y) f (y) dy were studied by [1.], 554–566), with some assumptions on the kernel K(x). In this paper the eigenfunctions of the operator Kτ are shown to be continuous functions of τ under certain circumstances. Also, the results of Vittal Rao and the continuity of eigenfunctions are shown to hold for a larger class of kernels.

Item Type: Journal Article
Publication: Journal of Mathematical Analysis and Applications
Publisher: Elsevier Science
Additional Information: The copyright of this article belongs to Elsevier Science
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 16 Nov 2009 11:33
Last Modified: 19 Sep 2010 05:32
URI: http://eprints.iisc.ac.in/id/eprint/20394

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