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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 5, Pages 64–70 (Mi ivm9359)  
This article is cited in 3 scientific papers (total in 3 papers)

Metric. Banach, and Hilbert spaces of $\phi_B$-distributions

V. S. Mokeichev

Kasan Federal University, 18 Kremlyovskaya str., Kasan, 420008 Russia
Full-text PDF (183 kB) Citations (3)
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Abstract: We introduce $\phi$-distributions and prove that their set is a metric space. We also consider a Banach space and a Hilbert space of the distributions. The results are applied to differential equations with Laurent's type.
Keywords: $\phi$-distribution, Fourier series, analytical distribution, Laurent series.
Received: 09.03.2017
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 5, Pages 55–60
DOI: https://doi.org/10.3103/S1066369X18050080
Bibliographic databases:
Document Type: Article
UDC: 517.9:517.5:519.6
Language: Russian
Citation: V. S. Mokeichev, “Metric. Banach, and Hilbert spaces of $\phi_B$-distributions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 5, 64–70; Russian Math. (Iz. VUZ), 62:5 (2018), 55–60
Citation in format AMSBIB
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\by V.~S.~Mokeichev
\paper Metric. Banach, and Hilbert spaces of $\phi_B$-distributions
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2018
\issue 5
\pages 64--70
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\transl
\jour Russian Math. (Iz. VUZ)
\yr 2018
\vol 62
\issue 5
\pages 55--60
\crossref{https://doi.org/10.3103/S1066369X18050080}
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  • https://www.mathnet.ru/eng/ivm/y2018/i5/p64
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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