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Funktsional'nyi Analiz i ego Prilozheniya, 2013, Volume 47, Issue 3, Pages 75–81
DOI: https://doi.org/10.4213/faa3113 (Mi faa3113) 		 
This article is cited in 6 scientific papers (total in 6 papers)

The Dirichlet Ring and Unconditional Bases in $L_2[0,2\pi]$

A. Sowa

Department of Mathematics and Statistics, University of Saskatchewan, Canada
Full-text PDF (145 kB) Citations (6)
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DOI: https://doi.org/10.4213/faa3113
Abstract: It is observed that the Dirichlet ring admits a representation in an infinite-dimensional matrix algebra. The resulting matrices are subsequently used in the construction of nonorthogonal Riesz bases in a separable Hilbert space. This framework enables custom design of a plethora of bases with interesting features. Remarkably, the representation of signals in any one of these bases is numerically implementable via fast algorithms.
Keywords: unconditional basis, Riesz basis, fast transform, Dirichlet series.
Received: 06.06.2011
English version:
Functional Analysis and Its Applications, 2013, Volume 47, Issue 3, Pages 227–232
DOI: https://doi.org/10.1007/s10688-013-0028-6
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: A. Sowa, “The Dirichlet Ring and Unconditional Bases in $L_2[0,2\pi]$”, Funktsional. Anal. i Prilozhen., 47:3 (2013), 75–81; Funct. Anal. Appl., 47:3 (2013), 227–232
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
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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    References:98
    First page:37
     
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