This article is cited 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.

UDC: 517.9:517.5:519.6

Received: 09.03.2017

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2018, 62:5, 55–60

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