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Статья «A new representation of Hankel operators and its spectral consequences, "Алгебра и анализ"»

Авторы:
  • Yafaev D.
стр. 286-310
Платно
  • SDI: 007.001.0234-0852.2018.030.003.14
Ключевые слова:
  • Hankel operators
  • spectral properties
  • absolutely continuous and discrete spectra
  • asymptotics of eigenvalues
Аннотация:
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.

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