On a family of integral operators of Hankel type
classification
🧮 math.FA
math.SP
keywords
operatorshankelintegralabsolutelycontinuousdiagonalizationexplicitfamily
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In this paper we perform an explicit diagonalization of Hankel integral operators $ K^{(0)}, K^{(1)}, K^{(2)}, ... $ It turns out that each of these operators has a simple purely absolutely continuous spectrum filling in the interval $ [-1,1] $. This generalizes a result of Kostrykin and Makarov (2008).
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