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
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.
Hankel operators, spectral properties, absolutely continuous and discrete spectra, asymptotics of eigenvalues.
|Russian Science Foundation
|Supported by Russian Science Foundation, project № 17-11-01126.
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D. R. Yafaev, “A new representation of Hankel operators and its spectral consequences”, Algebra i Analiz, 30:3 (2018), 286–310
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\paper A new representation of Hankel operators and its spectral consequences
\jour Algebra i Analiz
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