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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 1, Pages 87–92 (Mi ivm9323)  
This article is cited in 4 scientific papers (total in 4 papers)

On generalization of Haar system and other function systems in spaces $E_{\varphi}$

V. I. Filippov

Saratov Social-Economic Institute (branch) of Plekhanov Russian University of Economics, 89 Radishcheva str., Saratov, 410003 Russia
Full-text PDF (194 kB) Citations (4)
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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 $ E_{\varphi}$ with certain restrictions on $\varphi$.
Keywords: generalized Orlicz spaces and classes, represantation systems, the system of contractions and displacements of one function in spaces $ E_{\varphi}$.
Received: 01.09.2016
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 1, Pages 76–81
DOI: https://doi.org/10.3103/S1066369X18010115
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: V. I. Filippov, “On generalization of Haar system and other function systems in spaces $E_{\varphi}$”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 1, 87–92; Russian Math. (Iz. VUZ), 62:1 (2018), 76–81
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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