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Publication:3247378
zbMath0080.09501MaRDI QIDQ3247378
Publication date: 1958
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Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Toeplitz, Cauchy, and related matrices (15B05)
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Szegö, The prolate matrix, Hölder classes of vector-valued functions and convergence of the best predictor, On ARX(\(\infty)\) approximation, Shifts on the hyperfinite \(II_1\) factor, A trace formula for variable-coefficient Toeplitz matrices with symbols of bounded variation, On the estimation of a large sparse Bayesian system: the Snaer program, Akhiezer's orthogonal polynomials and Bernstein-Szegő method for a circular arc, Estimation of trend in state-space models: asymptotic mean square error and rate of convergence, On random tomography with unobservable projection angles, A functional large deviations principle for quadratic forms of Gaussian stationary processes, On the asymptotics of all eigenvalues of Hermitian Toeplitz band matrices, The empirical likelihood method applied to covariance matrix estimation, Variance-error quantification for identified poles and zeros, Concentration of measure and spectra of random matrices: applications to correlation matrices, elliptical distributions and beyond, Lebesgue Sobolev orthogonality on the unit circle, The structure of the Naimark dilation and Gaussian stationary processes, Asymptotic behavior of the logarithm of the likelihood function when the spectral density has polynomial zeros, On the condition numbers of large semi-definite Toeplitz matrices, On the eigenvalue problem for Toeplitz band matrices, Asymptotic behavior of the prediction error, Generalization of G. Szegö's limit theorem to the multidimensional case, The least squares algorithm, parametric system identification and bounded noise, Interlacement of the even and odd spectra of real symmetric Toeplitz matrices, Moment problems and orthogonal functions, Iterates of fuzzy circulant matrices, Local asymptotic normality of families of Gaussian distributions, Central limit theorems for quadratic forms in random variables having long-range dependence, A maximum entropy principle for contractive interpolants, Inversion de la matrice de Toeplitz en d dimensions et développement asymptotique de la trace de l'inverse à l'ordre d. 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II, Limits for Szegö polynomials in frequency analysis, Uniform \(l^1\) behavior in the Crank-Nicolson methods for a linear Volterra equation with convex kernel, Krein's spectral theory and the Paley-Wiener expansion for fractional Brownian motion, Spectral truncations in noncommutative geometry and operator systems, Certain subclasses of bi-univalent functions defined by Chebyshev polynomials, Toeplitz matrices in the problem of semiscalar equivalence of second-order polynomial matrices, Covariance structures for multidimensional data, Near-circularity of the error curve in Chebyshev approximation of solutions to a class of elliptic partial differential equations in the complex plane, A Grenander and Szegő limit theorem for Toeplitz operators on locally compact Abelian groups, Analysis of the spectral symbol associated to discretization schemes of linear self-adjoint differential operators, Circulant preconditioners with unbounded inverses, A priori error analysis for a finite element approximation of dynamic viscoelasticity problems involving a fractional order integro-differential constitutive law, On residual empirical processes of stochastic regression models with applications to time series, Herglotz's theorem for Jacobi-Dunkl positive definite sequences, The eigenvalues of Hermite and rational spectral differentiation matrices, Line spectrum representation for vector processes with application to frequency estimation, A filtration of transformations of random sequences, The uniform \(L^2\) behavior for time discretization of an evolution equation, On minimax detection of Gaussian stochastic sequences and Gaussian stationary signals, An elementary note on asymptotic properties of Toeplitz and multilevel Toeplitz matrices, Limit theorems for Toeplitz-type quadratic functionals of stationary processes and applications, Spectral self-similarity, one-dimensional Ising chains and random matrices, High-dimensional inference for linear model with correlated errors, Optimal block circulant preconditioners for block Toeplitz systems with application to evolutionary PDEs, Zeros of quasi-paraorthogonal polynomials and positive quadrature, Conditions on which cokriging does not do better than kriging, n**(1/2)-approximation of the likelihood function, Comparing alternative tests of causality in temporal systems. 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Szegö's limit theorem in the multidimensional case, Spectral and computational properties of band symmetric Toeplitz matrices, Anti-Hadamard matrices, Approximation of differentiable functions by positive summability methods for Fourier series, Cauchy-Toeplitz matrices and some applications, On the prediction theory of two-parameter stationary random fields, Exact solutions of some approximation problems by means of positive operators, Applications of Szegö polynomials to digital signal processing, Localization for random Schrödinger operators with correlated potentials, Finite truncations of generalized one-dimensional discrete convolution operators and asymptotic behavior of the spectrum. The matrix case, On a subclass of the analytic and bi-univalent functions satisfying subordinate condition defined by $q$-derivativ, On some algebraic properties of block Toeplitz matrices with commuting entries, A problem of Schmidt and Spitzer, Toeplitz Determinants and Szegö's Formula, On Efficient AR Spectral Estimation for Long-Range Predictions, Variational Methods for Functions With Positive Real Part, Polynomials defined by a difference system, Improved upper bound of third order Hankel determinant for Ozaki close-to-convex functions, Spectral-norm risk rates for multi-taper estimation of Gaussian processes, Toeplitz Matrices and Toeplitz Determinants under the Impetus of the Ising Model: Some History and Some Recent Results, Logarithmic coefficients of starlike functions connected with k-Fibonacci numbers, Hankel Forms, Toeplitz Forms and Meromorphic Functions, Unnamed Item, Asymptotic distribution of eigenvalues of block Toeplitz matrices, Statistical Mechanics of Dimers on a Plane Lattice. 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Time Series, [https://portal.mardi4nfdi.de/wiki/Publication:5657456 Zuf�llige Pfade mit vertauschbaren Schritten], Upper bound to second Hankel determinant for a family of bi-univalent functions, Second Hankel determinant for a certain subclass of analytic functions defined by hypergeometric functions, A Well-Posed Multidimensional Rational Covariance and Generalized Cepstral Extension Problem, On Singular Spectrum Analysis And Stepwise Time Series Reconstruction, Numerical solution of system of second-order integro-differential equations using nonclassical sinc collocation method, Asymptotic behavior of the prediction error for stationary sequences, Reduced-order variational mode decomposition to reveal transient and non-stationary dynamics in fluid flows, On \(\tau\)-preconditioner for a novel fourth-order difference scheme of two-dimensional Riesz space-fractional diffusion equations, An aggregation-based two-grid method for multilevel block Toeplitz linear systems, Unnamed Item, 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Upper bound of the third Hankel determinant for a class of analytic functions related with lemniscate of Bernoulli, Computation of asymptotic spectral distributions for sequences of grid operators, Asymptotics of Christoffel functions on arcs and curves, Notes on the Szegő minimum problem. 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V, CLASSIFICATION OF TEXTURES USING SECOND-ORDER SPECTRA, Early Coefficients of the Inverse of a Regular Convex Function, Some characterizations of the ribge trace, Unnamed Item, MODEL SELECTION AND ORDER DETERMINATION FOR TIME SERIES BY INFORMATION BETWEEN THE PAST AND THE FUTURE, A Fast Schur–Euclid-Type Algorithm for Quasiseparable Polynomials, The analogue of the strong Szegö limit theorem on the 2- and 3-dimensional spheres, THE APPROXIMATE DENSITIES OF SOME QUADRATIC FORMS OF STATIONARY RANDOM VARIABLES, On a correspondence between classes of analytic functions with positive real part in annuli, Non-iterative optimal min-max instrumental variable method for system identification, On the determinants of certain Toeplitz matrices, On the trigonometric moment problem with reference to a class of analytic functions in an annulus, Unnamed Item, On the extreme eigenvalues of truncated Toeplitz matrices, On the stability of difference approximations to solutions of hyperbolic equations with variable coefficients, A New Class of Orthogonal Polynomials, Occupation times of discrete-time fractional Brownian motion, Second Hankel determinant for certain class of bi-univalent functions defined by Chebyshev polynomials, Determinant and inverse of a Gaussian Fibonacci skew-Hermitian Toeplitz matrix, Bounds for the second Hankel determinant of certain bi-univalent functions, Second Hankel determinant for certain subclasses ofbi-univalent functions, Construction of the second Hankel determinant for a new subclass of bi-univalentfunctions, Christoffel functions on curves and domains, Mutual information area laws for thermal free fermions, Toeplitz matrices for LTI systems, an illustration of their application to Wiener filters and estimators, Testing for residual correlation of any order in the autoregressive process, ESTIMATION OF AUTOREGRESSIVE PARAMETERS AND ORDER SELECTION FOR ARMA MODELS, Unnamed Item, Quadrature rules for polynomial modifications of Bernstein measures exact for analytic functions, ON THE SPECTRAL PROPERTIES OF MATRICES ASSOCIATED WITH TREND FILTERS, Asymptotic Expansions of Traces for Certain Convolution Operators, Asymptotics of block Toeplitz determinants generated by factorable matrix functions with equal partial indices, Error bounds and asymptotic expansions for toeplitz product functionals of unbounded spectra, An Extension Problem for Non-Negative Hermitian Block Toeplitz Matrices, IV, Sharp large deviations for Gaussian quadratic forms with applications, Asymptotic properties of the QR factorization of banded Hessenberg–Toeplitz matrices, The autocorrelation function extrapolation and equivalence of determinant and entropy maximizations, On the estimation of missing initial autocorrelation coefficients, Rational Szegő quadratures associated with Chebyshev weight functions, Asymptotics for Orthogonal Rational Functions, Estimation Methods of the Long Memory Parameter: Monte Carlo Analysis and Application, Some inequalities for holomorphic self-maps of the unit disc with two fixed points, A survey of Toeplitz and related matrices, Some Problems Concerning the Test Functions in the Szegö and Avram-Parter Theorems, On an Extremal Problem, Algebras of block Toeplitz matrices with commuting entries, Unnamed Item, Nonlinear development of an electromagnetic filamentation instability, SHARP BOUNDS OF SOME COEFFICIENT FUNCTIONALS OVER THE CLASS OF FUNCTIONS CONVEX IN THE DIRECTION OF THE IMAGINARY AXIS, Bounds for a new subclass of bi-univalent functions subordinate to the Fibonacci numbers, On a Szegö type limit theorem, the Hölder-Young-Brascamp-Lieb inequality, and the asymptotic theory of integrals and quadratic forms of stationary fields, Semidefinite Representations of Gauge Functions for Structured Low-Rank Matrix Decomposition, Fine asymptotics of Christoffel functions for general measures, Pseudo-differential operators with discontinuous symbols: Widom’s Conjecture, Unnamed Item, Minimum Rényi and Wehrl entropies at the output of bosonic channels, Finite sections of toeplitz‐like matrices, Maximum entropy and the moment problem, Banded and tapered estimates for autocovariance matrices and the linear process bootstrap, Hypothesis testing for Gaussian states on bosonic lattices, The effect of serial correlation on confidence regions for the parmnters of a multivariate normal population, ESTIMATION OF AUTOREGRESSIVE MOVING-AVERAGE MODELS VIA HIGH-ORDER AUTOREGRESSIVE APPROXIMATIONS, Notes on the asymptotic behavior of block TOEPLITZ matrices and determinants, Unnamed Item, Additivity properties of a Gaussian channel, Hyponormality of Toeplitz operators on the Bergman space of an annulus, On the circle criterion for boundary control systems in factor form: Lyapunov stability and Lur'e equations, On the pade tablé and its relationship to the r and sarrays and arm a modeling, Extreme Eigenvalues of Toeplitz Forms and Applications to Elliptic Difference Equations, Unnamed Item, Extensions of Rosenblatt's results on the asymptotic behavior of the prediction error for deterministic stationary sequences, Hankel determinant for a subclass of bi-univalent functions defined by using a symmetric q-derivative operator, Considerations for optimal nonparametric regression under a generalizederror structure, Optimal multilevel matrix algebra operators, Some Notes on Mutual Information Between Past and Future, Some empirical investigations of the autocorrelation function extrapolation, A note on successive coefficients of spirallike functions
