Geodesic
Metric. Banach, and Hilbert spaces of $\phi_B$-distributions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2018), pp. 64-70

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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
Mots-clés : Laurent series. 
@article{IVM_2018_5_a7,
     author = {V. S. Mokeichev},
     title = {Metric. {Banach,} and {Hilbert} spaces of $\phi_B$-distributions},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {64--70},
     publisher = {mathdoc},
     number = {5},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2018_5_a7/}
}
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V. S. Mokeichev. Metric. Banach, and Hilbert spaces of $\phi_B$-distributions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2018), pp. 64-70. http://geodesic.mathdoc.fr/item/IVM_2018_5_a7/