This article is cited in 2 papers

Some applications of a matrix criterion for equidistribution

E. E. Tyrtyshnikov

Institute of Numerical Mathematics, Russian Academy of Sciences

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.

UDC: 512.64+517.5

MSC: Primary 15A18, 15A57; Secondary 65F15

Received: 14.06.2001

DOI: 10.4213/sm618

 English version: Sbornik: Mathematics, 2001, 192:12, 1877–1887

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