@inbook{b0b89789a6c840d394002b27592b9f54,
title = "Canonical Systems in Classes of Compact Operators",
abstract = "Spectral properties of two-dimensional canonical systems with locally integrable Hamiltonian are studied. We give a criterion of discreteness of the spectrum of the associated selfadjoint operator, and study asymptotic distribution of this spectrum in terms of symmetrically normed ideals of compact operators. Simultaneously, we answer a 1968 question of Louis de Branges on description of the Hamiltonians which are structure functions of some de Branges spaces.",
author = "Roman Romanov and Harald Woracek",
note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.",
year = "2021",
doi = "10.1007/978-3-030-74417-5_26",
language = "English",
isbn = "978-3-030-74416-8",
series = "Trends in Mathematics",
publisher = "Birkh{\"a}user Verlag AG",
pages = "207--209",
booktitle = "Extended Abstracts Fall 2019",
address = "Switzerland",
}