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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 5, Pages 64–70
(Mi ivm9359)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/ivm9359 https://www.mathnet.ru/eng/ivm/y2018/i5/p64
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Abstract page: | 182 | Full-text PDF : | 52 | References: | 33 | First page: | 1 |
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