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On the number of negative eigenvalues of a partial integral operator

Yu. Kh. ÈshkabilovNational University of Uzbekistan, Tashkent, 100174, UzbekistanR.R. KucharovNational University of Uzbekistan, Tashkent, 100174, Uzbekistan
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We find the lower boundary for the essential spectrum of a Fredholm type partial integral operator H. We also obtain an estimate for the number of eigenvalues below this boundary.

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