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Matematicheskie Zametki, 2010, Volume 87, Issue 4, Pages 542–553
DOI: https://doi.org/10.4213/mzm8698 (Mi mzm8698) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Uniformly Bounded Families of Riesz Bases of Exponentials, Sines, and Cosines

R. O. Hrynivabc

a Ivan Franko National University of L'viv
b Ya. S. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, NAS Ukraine
c Institute of Mathematics, Rzeszów University
Full-text PDF (555 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm8698
Abstract: We construct a wide class of families of exponentials, sines, and cosines generating Riesz bases of the corresponding Hilbert spaces with uniformly bounded upper bounds and uniformly positive lower bounds.
Keywords: Riesz bases of exponentials, sines, and cosines, separable Hilbert space, Hilbert transformation, Hadamard canonical product, Riemann function.
Received: 13.04.2009
English version:
Mathematical Notes, 2010, Volume 87, Issue 4, Pages 510–520
DOI: https://doi.org/10.1134/S0001434610030296
Bibliographic databases:
Document Type: Article
UDC: 517.982.254
Language: Russian
Citation: R. O. Hryniv, “Uniformly Bounded Families of Riesz Bases of Exponentials, Sines, and Cosines”, Mat. Zametki, 87:4 (2010), 542–553; Math. Notes, 87:4 (2010), 510–520
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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