Geodesic
A Commutator Method for the Diagonalization of Hankel Operators
Funkcionalʹnyj analiz i ego priloženiâ, Tome 44 (2010) no. 4, pp. 65-79

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A method for the explicit diagonalization of some Hankel operators is presented. This method makes it possible to give new proofs of classical results on the diagonalization of Hankel operators with absolutely continuous spectrum and obtain new results. The approach relies on the commutation of a Hankel operator with a certain second-order differential operator.
Keywords: Hankel operators, spectrum, eigenfunctions, commutators.
Mots-clés : explicit solutions 
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     author = {D. R. Yafaev},
     title = {A {Commutator} {Method} for the {Diagonalization} of {Hankel} {Operators}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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     publisher = {mathdoc},
     volume = {44},
     number = {4},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2010_44_4_a5/}
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D. R. Yafaev. A Commutator Method for the Diagonalization of Hankel Operators. Funkcionalʹnyj analiz i ego priloženiâ, Tome 44 (2010) no. 4, pp. 65-79. http://geodesic.mathdoc.fr/item/FAA_2010_44_4_a5/