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 Algebra i Analiz: Year: Volume: Issue: Page: Find

 Algebra i Analiz, 2018, Volume 30, Issue 3, Pages 286–310 (Mi aa1605)

Research Papers

A new representation of Hankel operators and its spectral consequences

D. R. Yafaevab

a Univ Rennes, CNRS, IRMAR-UMR 6625, F-35000 Rennes, France
b St. Petersburg State University, Universitetskaya nab. 7/9, 199034, St. Petersburg, Russia

Abstract: In the paper, the Hankel operators $H$ are represented as pseudo-differential operators $A$ in the space of functions defined on the whole axis. The amplitudes of such operators $A$ have a very special structure: they are products of functions of a one variable only. This representation has numerous spectral consequences, both for compact Hankel operators and for operators with the continuous spectrum.

Keywords: Hankel operators, spectral properties, absolutely continuous and discrete spectra, asymptotics of eigenvalues.

 Funding Agency Grant Number Russian Science Foundation 17-11-01126 Supported by Russian Science Foundation, project № 17-11-01126.

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Document Type: Article
Language: English

Citation: D. R. Yafaev, “A new representation of Hankel operators and its spectral consequences”, Algebra i Analiz, 30:3 (2018), 286–310

Citation in format AMSBIB
\Bibitem{Yaf18} \by D.~R.~Yafaev \paper A new representation of Hankel operators and its spectral consequences \jour Algebra i Analiz \yr 2018 \vol 30 \issue 3 \pages 286--310 \mathnet{http://mi.mathnet.ru/aa1605} \elib{http://elibrary.ru/item.asp?id=32855075}