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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.


Full text: PDF file (281 kB)
First page: PDF file
References: PDF file   HTML file

Document Type: Article
Received: 12.12.2017
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}


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