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Sbornik: Mathematics, 2001, Volume 192, Issue 12, Pages 1877–1887
DOI: https://doi.org/10.1070/SM2001v192n12ABEH000618 (Mi sm618) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Some applications of a matrix criterion for equidistribution

E. E. Tyrtyshnikov

Institute of Numerical Mathematics, Russian Academy of Sciences
English version PDF (159 kB) Citations (2) Russian version article
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DOI: https://doi.org/10.1070/SM2001v192n12ABEH000618
Abstract: Formulations and simple proofs of Szego-type theorems on the distribution of the eigenvalues and the singular values are given for matrices that can be obtained from a fixed finite set of Toeplitz matrices with generating functions in $L_1$ by means of a fixed finite sequence of operations of addition, multiplication, and inversion.
Received: 14.06.2001
Bibliographic databases:
UDC: 512.64+517.5
MSC: Primary 15A18, 15A57; Secondary 65F15
Language: English
Original paper language: Russian
Citation: E. E. Tyrtyshnikov, “Some applications of a matrix criterion for equidistribution”, Sb. Math., 192:12 (2001), 1877–1887
Citation in format AMSBIB
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\paper Some applications of a~matrix criterion for equidistribution
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Russian version PDF:207
    English version PDF:13
    References:72
    First page:5
     
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