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Funktsional'nyi Analiz i ego Prilozheniya, 2012, Volume 46, Issue 2, Pages 24–36
DOI: https://doi.org/10.4213/faa3069 (Mi faa3069) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Averaged Wave Operators on Singular Spectrum

V. V. Kapustin

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (206 kB) Citations (4)
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DOI: https://doi.org/10.4213/faa3069
Abstract: We prove the existence of pairs of unitary (or self-adjoint) operators with singular spectral measure whose difference is a rank-two operator for which the Abel wave operators fail to exist. Also, we discuss the closely related problem of constructing the Hilbert transform with respect to a singular measure on the unit circle.
Keywords: wave operator, summation methods, singular measure, Hilbert transform.
Received: 29.07.2011
English version:
Functional Analysis and Its Applications, 2012, Volume 46, Issue 2, Pages 100–109
DOI: https://doi.org/10.1007/s10688-012-0016-2
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: V. V. Kapustin, “Averaged Wave Operators on Singular Spectrum”, Funktsional. Anal. i Prilozhen., 46:2 (2012), 24–36; Funct. Anal. Appl., 46:2 (2012), 100–109
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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