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arxiv: 1308.4078 · v1 · pith:C5S7KKD2new · submitted 2013-08-19 · 🧮 math.SP

Lower bounds for the counting function of integral operators

classification 🧮 math.SP
keywords integrallowernumberbelowboundboundscontinuouscounting
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The paper presents a lower bound for the number of negative eigenvalues of an integral operator with continuous kernel K lying below a nonpositive number t. The estimate is given in terms of some integrals of K.

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