Integral Equations and Operator Theory

, Volume 76, Issue 4, pp 549–564 | Cite as

On a Family of Integral Operators of Hankel Type

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Abstract

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 (Proc Am Math Soc 136:2067–2071, 2008).

Mathematics Subject Classification (2010)

Primary 47B35 Secondary 47A10 

Keywords

Hankel operator integral operator spectrum diagonalization 
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Copyright information

© Springer Basel 2013

Authors and Affiliations

  1. 1.FB 08 - Institut für MathematikJohannes Gutenberg-Universität MainzMainzGermany

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