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Symmetric Toeplitz determinants of some classes of univalent functions
Afrika MatematikaIn 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
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Toeplitz determinants and positive semidefiniteness
IEEE Transactions on Signal Processing, 1991The 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, 2004Let \(\mathbb T\) 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, 1984Translation 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, 2023Yong Sun, Zhi-Gang Wang
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A generalization of Pincus’ formula and Toeplitz operator determinants
Archiv der Mathematik, 2003The 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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Toeplitz determinants for a subclass of quasi convex mappings in higher dimensions
The Journal of Analysis, 2023Surya Giri, S. S. Kumar
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The information operator and the asymptotic behavior of the toeplitz determinant
Journal of Soviet Mathematics, 1990See 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, 2022Mohammad Faisal Khan +2 more
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