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arXiv · 1801.00706

A new representation of Hankel operators and its spectral consequences

D. R. Yafaev
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Abstract

We describe a new representation of Hankel operators $H$ 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.

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D. R. Yafaev. 2018-01-02. A new representation of Hankel operators and its spectral consequences. https://arxiv.org/abs/1801.00706

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