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Metric, Banach, and Hilbert Spaces of φB-Distributions

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Abstract

We introduce φ-distributions and prove that their set is ametric space. We also consider a Banach space and a Hilbert space of such distributions. The results are applied to differential equations with Laurent’s type coefficients.

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References

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Authors and Affiliations

  1. Kasan Federal University, ul. Kremlyovskaya 18, Kasan, 420008, Russia

    V. S. Mokeichev

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  1. V. S. Mokeichev
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Correspondence to V. S. Mokeichev.

Additional information

Original Russian Text © V.S. Mokeichev, 2018, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, No. 5, pp. 64–70.

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Mokeichev, V.S. Metric, Banach, and Hilbert Spaces of φB-Distributions. Russ Math. 62, 55–60 (2018). https://doi.org/10.3103/S1066369X18050080

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  • DOI: https://doi.org/10.3103/S1066369X18050080

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