RUS  ENG
Full version
JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2010 Volume 376, Pages 48–63 (Mi znsl3618)

This article is cited in 7 papers

On wave operators on the singular spectrum

V. V. Kapustin

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia

Abstract: The problem of the existence of a wave operator is considered in the general case where spectral measures of the unitary operators are not assumed to be absolutely continuous. The case of commutators of rank at most 2 is studied in more detail. Bibl. – 6 titles.

Key words and phrases: wave operator, summation methods, singular spectral measure.

UDC: 517

Received: 08.06.2010


 English version:
Journal of Mathematical Sciences (New York), 2011, 172:2, 207–214

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024