Standard

The past and future wave operators on the singular spectrum. / Bessonov, R. V.

In: Journal of Mathematical Sciences, Vol. 182, No. 5, 01.05.2012, p. 587-594.

Research output: Contribution to journal › Article › peer-review

Harvard

Bessonov, RV 2012, 'The past and future wave operators on the singular spectrum', Journal of Mathematical Sciences, vol. 182, no. 5, pp. 587-594. https://doi.org/10.1007/s10958-012-0763-x

APA

Bessonov, R. V. (2012). The past and future wave operators on the singular spectrum. Journal of Mathematical Sciences, 182(5), 587-594. https://doi.org/10.1007/s10958-012-0763-x

Vancouver

Bessonov RV. The past and future wave operators on the singular spectrum. Journal of Mathematical Sciences. 2012 May 1;182(5):587-594. https://doi.org/10.1007/s10958-012-0763-x

Author

Bessonov, R. V. / The past and future wave operators on the singular spectrum. In: Journal of Mathematical Sciences. 2012 ; Vol. 182, No. 5. pp. 587-594.

BibTeX

@article{ddda876744974b5c90408dfdb630b635,
title = "The past and future wave operators on the singular spectrum",
abstract = "We consider average wave operators constructed for singular unitary operators U 1 and U 2 and a bounded identification operator A. In the case of rank-two commutator AU 1-U 2A, we show that averaged wave operators of past and future exist or do not exist simultaneously, and if they exist, then they must coincide. As consequence, we obtain some results concerning the boundary behavior of Cauchy type integrals. Bibliography: 9 titles.",
author = "Bessonov, {R. V.}",
year = "2012",
month = may,
day = "1",
doi = "10.1007/s10958-012-0763-x",
language = "English",
volume = "182",
pages = "587--594",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "5",

}

RIS

TY - JOUR

T1 - The past and future wave operators on the singular spectrum

AU - Bessonov, R. V.

PY - 2012/5/1

Y1 - 2012/5/1

N2 - We consider average wave operators constructed for singular unitary operators U 1 and U 2 and a bounded identification operator A. In the case of rank-two commutator AU 1-U 2A, we show that averaged wave operators of past and future exist or do not exist simultaneously, and if they exist, then they must coincide. As consequence, we obtain some results concerning the boundary behavior of Cauchy type integrals. Bibliography: 9 titles.

AB - We consider average wave operators constructed for singular unitary operators U 1 and U 2 and a bounded identification operator A. In the case of rank-two commutator AU 1-U 2A, we show that averaged wave operators of past and future exist or do not exist simultaneously, and if they exist, then they must coincide. As consequence, we obtain some results concerning the boundary behavior of Cauchy type integrals. Bibliography: 9 titles.

UR - http://www.scopus.com/inward/record.url?scp=84860362557&partnerID=8YFLogxK

U2 - 10.1007/s10958-012-0763-x

DO - 10.1007/s10958-012-0763-x

M3 - Article

AN - SCOPUS:84860362557

VL - 182

SP - 587

EP - 594

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 5

ER -

ID: 36321202