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Sbornik: Mathematics, 1997, Volume 188, Issue 8, Pages 1191–1201
DOI: https://doi.org/10.1070/sm1997v188n08ABEH000251 (Mi sm251) 		 
This article is cited in 56 scientific papers (total in 56 papers)

Distribution of eigenvalues and singular values of Toeplitz matrices under weakened conditions on the generating function

N. L. Zamarashkin, E. E. Tyrtyshnikov

Institute of Numerical Mathematics, Russian Academy of Sciences
English version PDF (202 kB) Citations (56)
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DOI: https://doi.org/10.1070/sm1997v188n08ABEH000251
Abstract: A new approach to the study of asymptotic distributions of eigenvalues and singular values of Toeplitz matrices is presented; this approach involves a matrix criterion for equidistribution. Theorems of Szego type for generating functions in $L_1$ are obtained.
Received: 19.06.1996
Russian version:
Matematicheskii Sbornik, 1997, Volume 188, Number 8, Pages 83–92
DOI: https://doi.org/10.4213/sm251
Bibliographic databases:
UDC: 512.64+517.5
MSC: Primary 15A18, 15A57; Secondary 65F15
Language: English
Original paper language: Russian
Citation: N. L. Zamarashkin, E. E. Tyrtyshnikov, “Distribution of eigenvalues and singular values of Toeplitz matrices under weakened conditions on the generating function”, Mat. Sb., 188:8 (1997), 83–92; Sb. Math., 188:8 (1997), 1191–1201
Citation in format AMSBIB
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    • This publication is cited in the following 56 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    English version PDF:18
    References:53
    First page:3
     
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