A new representation of Hankel operators and its spectral consequences

2018/01/02 by D. R. Yafaev, Yafaev, D. R.
Mathematics · #47A40 #47B06 #47B25 #47B35 #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Numerical methods in inverse problems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1801.00706

openalex publication_date 2018/01/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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