A new representation of Hankel operators and its spectral consequences
Spectral Theory
2018-01-03 v1 Functional Analysis
Abstract
We describe a new representation of Hankel operators as pseudo-differential operators in the space of functions defined on the whole axis. The amplitudes of such operators 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
Cite
@article{arxiv.1801.00706,
title = {A new representation of Hankel operators and its spectral consequences},
author = {D. R. Yafaev},
journal= {arXiv preprint arXiv:1801.00706},
year = {2018}
}
Comments
Dedicated to the memory of Mikhail Zakharovich Solomyak