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Funktsional'nyi Analiz i ego Prilozheniya, 2010, Volume 44, Issue 4, Pages 65–79
DOI: https://doi.org/10.4213/faa3019 (Mi faa3019) 		 
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
Full-text PDF (245 kB) Citations (16)
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DOI: https://doi.org/10.4213/faa3019
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
English version:
Functional Analysis and Its Applications, 2010, Volume 44, Issue 4, Pages 295–306
DOI: https://doi.org/10.1007/s10688-010-0040-z
Bibliographic databases:
Document Type: Article
UDC: 517.983
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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    References:72
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