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This article is cited in 16 scientific papers (total in 16 papers)
A Commutator Method for the Diagonalization of Hankel Operators
D. R. Yafaev IRMAR, Université de Rennes I Campus de Beaulieu
Abstract:
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, explicit solutions, commutators.
Received: 17.05.2010
Citation:
D. R. Yafaev, “A Commutator Method for the Diagonalization of Hankel Operators”, Funktsional. Anal. i Prilozhen., 44:4 (2010), 65–79; Funct. Anal. Appl., 44:4 (2010), 295–306
Linking options:
https://www.mathnet.ru/eng/faa3019https://doi.org/10.4213/faa3019 https://www.mathnet.ru/eng/faa/v44/i4/p65
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Abstract page: | 440 | Full-text PDF : | 214 | References: | 51 | First page: | 15 |
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