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Algebra i Analiz, 2016, Volume 28, Issue 2, Pages 187–203 (Mi aa1490)  
This article is cited in 1 scientific paper (total in 1 paper)

Research Papers

Spectrally reasonable measures

P. Ohrysko, M. Wojciechowski

Institute of Mathematics, Polish Academy of Sciences,00-956 Warszawa, Poland
Full-text PDF (244 kB) Citations (1)
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Abstract: The problems under study are related to measures with a natural spectrum (equal to the closure of the set of the values of the Fourier–Stieltjes transform). Since it is known that the set of all such measures does not have a Banach algebra structure, the set of all suitable perturbations called spectrally reasonable measures is considered. In particular, a broad class of spectrally reasonable measures is exhibited, which contains absolutely continuous ones. On the other hand, it is shown that except trivial cases all discrete (purely atomic) measures do not posses this property.
Keywords: natural spectrum, Wiener–Pitt phenomenon, Fourier–Stieltjes coefficients, convolution algebra, spectrum of measure.
Funding agency Grant number
National Science Centre (Narodowe Centrum Nauki) 2014/15/N/ST1/02124
The research of the first author was supported by National Science Centre, Poland, grant no. 2014/15/N/ST1/02124.
Received: 25.11.2015
English version:
St. Petersburg Mathematical Journal, 2017, Volume 28, Issue 2, Pages 259–271
DOI: https://doi.org/10.1090/spmj/1449
Bibliographic databases:
Document Type: Article
Language: English
Citation: P. Ohrysko, M. Wojciechowski, “Spectrally reasonable measures”, Algebra i Analiz, 28:2 (2016), 187–203; St. Petersburg Math. J., 28:2 (2017), 259–271
Citation in format AMSBIB
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\pages 259--271
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и анализ St. Petersburg Mathematical Journal
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    References:28
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