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On a family of integral operators of Hankel type

Functional Analysis 2012-11-26 v1 Spectral Theory

Abstract

In this paper we perform an explicit diagonalization of Hankel integral operators K(0),K(1),K(2),... 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] [-1,1] . This generalizes a result of Kostrykin and Makarov (2008).

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Cite

@article{arxiv.1211.5277,
  title  = {On a family of integral operators of Hankel type},
  author = {Christoph Uebersohn},
  journal= {arXiv preprint arXiv:1211.5277},
  year   = {2012}
}

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20 pages