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Cited by 275

The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.

Asymptotic behavior of block Toeplitz matrices and determinants

Open access
Widom, Harold·1974·Advances in Mathematics
DOI 10.1016/0001-8708(74)90072-3
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Abstract

(This notation will be used consistently throughout the paper; if y is a scalaror matrix-valued function then yj denotes its jth Fourier, or Laurent, coefficient which is either a number or a matrix.) The corresponding block Toeplitz matrix (1.1) will be denoted by TN[v] and its determinant by Q,,[F]; the semi-infinite block Toeplitz matrix (yiPi), 0 < i, j < co will be denoted by T[q]. The earliest asymptotic result for block Toeplitz determinants seems to have been that of Gyires [S] who showed that if y(z) is continuous and positive definite for 1 x j = 1 then

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Metadata

Authors
Widom, H.
Venue
Advances in Mathematics
Publisher
Elsevier BV
Published
1974-07
Volume
13
Issue
3
Pages
284-322
ISSN
0001-8708 (ISSN-L)
DOI
10.1016/0001-8708(74)90072-3
OpenAlex
W1982482853
Cited by
275
References
8
FWCI
1.12
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: Asymptotic behavior of block Toeplitz matrices and determinants. https://app.cochat.ai/papers/10.1016/0001-8708(74)90072-3
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Widom, H. (1974). Asymptotic behavior of block Toeplitz matrices and determinants. Advances in Mathematics. https://doi.org/10.1016/0001-8708(74)90072-3

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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.