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Symmetric Toeplitz determinants of some classes of univalent functions

Afrika Matematika
In this paper, we consider estimates of symmetric Toeplitz determinants Tq,n(f)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage ...
Milutin Obradovi'c, N. Tuneski
semanticscholar   +1 more source

Toeplitz determinants and positive semidefiniteness

IEEE Transactions on Signal Processing, 1991
The role that the determinants of real, symmetric, Toeplitz matrices play in testing for their positive semidefiniteness is discussed. It is shown that the leading principal minor test is not sufficient in general to test for the positive semidifiniteness of Toepliz matrices, except in certain cases.
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On Asymptotics of Toeplitz Determinants with Symbols of Nonstandard Smoothness

Journal of Fourier Analysis and Applications, 2004
Let \(\mathbb T\) denote the unit circle. For a function \(a\in L^1(\mathbb T)\) and an integer \(n\geq 0\), the \(n\)-th Toeplitz determinant \(D_n(a)\) is given by \(D_n(a)=\det(a_{j-k})_{j,k=0}^n\) where \(a_i\) is the \(i\)-th Fourier coefficient of \(a\). In 1952, G. Szegő proved that if \(a\in C^{1+\epsilon}\) and \(a\geq 0\), then \[ \lim_{n\to \
Karlovich, Alexei Yu., Santos, Pedro A.
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Asymptotic behavior of the Toeplitz determinant

Journal of Soviet Mathematics, 1984
Translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 97, 22-31 (Russian) (1980; Zbl 0461.42009).
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Sharp Bounds on Hermitian Toeplitz Determinants for Sakaguchi Classes

Bulletin of the Malaysian Mathematical Sciences Society, 2023
Yong Sun, Zhi-Gang Wang
semanticscholar   +1 more source

A generalization of Pincus’ formula and Toeplitz operator determinants

Archiv der Mathematik, 2003
The author gives a generalization of Pincus' formula. Let \(H\) be a separable Hilbert space and \({\mathcal C}_1(H)\) the set of all trace class operators on \(H\). The main result contains the following Theorem. Let \(A,B \in {\mathcal L} (H),\) and assume that \(AB-BA\in {\mathcal C}_1(H)\).
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The information operator and the asymptotic behavior of the toeplitz determinant

Journal of Soviet Mathematics, 1990
See the review in Zbl 0669.60041.
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Hankel and Symmetric Toeplitz Determinants for a New Subclass of q-Starlike Functions

Fractal and Fractional, 2022
Mohammad Faisal Khan   +2 more
exaly  

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