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On Generalization of Haar System and Other Function Systems in Spaces Eϕ

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Abstract

We consider subsystems of system of Haar type and system of functions more general than the systems of contractions and displacements of one function. We obtain conditions under which these function systems are representation systems in spaces Eϕ with certain restrictions on ϕ.

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Authors and Affiliations

  1. Saratov Social-Economic Institute (Branch) of Plekhanov Russian University of Economics, ul. Radishcheva 89, Saratov, 410003, Russia

    V. I. Filippov

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  1. V. I. Filippov
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Correspondence to V. I. Filippov.

Additional information

Original Russian Text © V.I. Filippov, 2018, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, No. 1, pp. 89–92.

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Filippov, V.I. On Generalization of Haar System and Other Function Systems in Spaces Eϕ. Russ Math. 62, 76–81 (2018). https://doi.org/10.3103/S1066369X18010115

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  • DOI: https://doi.org/10.3103/S1066369X18010115

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