A new representation of Hankel operators and its spectral consequences

Результат исследований: Научные публикации в периодических изданияхстатья

Выдержка

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.
Язык оригиналаанглийский
Страницы (с-по)601-619
ЖурналSt. Petersburg Mathematical Journal
Том30
Номер выпуска3
СостояниеОпубликовано - 2019

Отпечаток

Hankel Operator
Continuous Spectrum
Compact Operator
Pseudodifferential Operators
Operator
Mathematical operators

Цитировать

@article{9214bf70cbeb467d8db3017478051627,
title = "A new representation of Hankel operators and its spectral consequences",
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.",
keywords = "math.SP, math.FA, 47A40, 47B06, 47B25, 47B35",
author = "Yafaev, {D. R.}",
note = "Dedicated to the memory of Mikhail Zakharovich Solomyak",
year = "2019",
language = "English",
volume = "30",
pages = "601--619",
journal = "St. Petersburg Mathematical Journal",
issn = "1061-0022",
publisher = "American Mathematical Society",
number = "3",

}

A new representation of Hankel operators and its spectral consequences. / Yafaev, D. R.

В: St. Petersburg Mathematical Journal, Том 30, № 3, 2019, стр. 601-619.

Результат исследований: Научные публикации в периодических изданияхстатья

TY - JOUR

T1 - A new representation of Hankel operators and its spectral consequences

AU - Yafaev, D. R.

N1 - Dedicated to the memory of Mikhail Zakharovich Solomyak

PY - 2019

Y1 - 2019

N2 - 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.

AB - 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.

KW - math.SP

KW - math.FA

KW - 47A40, 47B06, 47B25, 47B35

UR - https://www.ams.org/journals/spmj/2019-30-03/S1061-0022-2019-01561-8/

UR - http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=aa&paperid=1605&option_lang=rus

M3 - Article

VL - 30

SP - 601

EP - 619

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 3

ER -