Results 41 to 50 of about 1,081,230 (234)
On the Limit of Some Toeplitz-Like Determinants [PDF]
SIAM Journal on Matrix Analysis and Applications, 2002 In this article we derive, using standard methods of Toeplitz theory, an asymptotic formula for certain large minors of Toeplitz matrices. D. Bump and P. Diaconis obtained the same asymptotics using representation theory, with an answer having a different form.
Craig A. Tracy, Harold Widom
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Toeplitz Determinants for a Class of Holomorphic Mappings in Higher Dimensions [PDF]
Complex Analysis and Operator Theory, 2022 In this paper, we establish the sharp bounds of certain Toeplitz determinants formed over the coefficients of holomorphic mappings from a class defined on the unit ball of a complex Banach space and on the unit polydisc in Cn\documentclass[12pt]{minimal}
Surya Giri +5 more
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Toeplitz determinants from compatibility conditions [PDF]
The Ramanujan Journal, 2008 16 ...
Basor, Estelle L., Chen, Yang
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On lacunary Toeplitz determinants [PDF]
Asymptotic Analysis, 2014 By using Riemann–Hilbert problem based techniques, we obtain the asymptotic expansion of lacunary Toeplitz determinants det N [c ℓ a −m b [f]]
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Toeplitz determinants with a one-cut regular potential and Fisher–Hartwig singularities I. Equilibrium measure supported on the unit circle [PDF]
Proceedings of the Royal Society of Edinburgh. Section A Mathematics, 2022 We consider Toeplitz determinants whose symbol has: (i) a one-cut regular potential $V$, (ii) Fisher–Hartwig singularities and (iii) a smooth function in the background.
E. Blackstone, C. Charlier, J. Lenells
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Sharp Estimates of Hermitian Toeplitz Determinants for Some Subclasses of Sakaguchi Type Function Related to Sine Function [PDF]
Sahand Communications in Mathematical AnalysisHermitian Toeplitz determinants are utilized across various fields, such as functional analysis, applied mathematics, physics, and technical sciences. This paper establishes a link with specific subclasses of analytic functions. Extensive research exists
Sangarambadi Padmanabhan Vijayalakshmi +2 more
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Toeplitz Determinants and Szegö's Formula [PDF]
Journal of the Australian Mathematical Society, 1969 AbstractIn this paper the Toeplitz determinant of order s ≧ 1 generated by the rational function , with , and , is evaluated exactly for all values of s ≧ m, as , where in with and , thus proving Szegö's formula for the function fm, n(z).By forming the rational approximation of the generating function the formula is then extended to enabling the ...
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On the limit of block Toeplitz determinants [PDF]
Proceedings of the American Mathematical Society, 1975 An asymptotic formula is derived for block Toeplitz determinants which generalizes Szeg6's well-known formula for ordinary Toeplitz determinants. The predecessor of this paper [5] was concerned, among other things, with the limiting behavior of the block Toeplitz determinants DN[.] = det TNh[01 where TN[s] = (sb.X), i, j= 0, *?, N.
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A Fredholm determinant formula for Toeplitz determinants [PDF]
Integral Equations and Operator Theory, 2000 We prove a formula expressing a general n by n Toeplitz determinant as a Fredholm determinant of an operator 1-K acting on l_2({n,n+1,...}), where the kernel K admits an integral representation in terms of the symbol of the original Toeplitz matrix.
Borodin, Alexei, Okounkov, Andrei
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Toeplitz and Wiener-Hopf determinants with piecewise continuous symbols [PDF]
, 1983 The asymptotics for determinants of Toeplitz and Wiener-Hopf operators with piecewise continuous symbols are obtained in this paper. If Wα(σ) is the Wiener-Hopf operator defined on L2(0, α) with piecewise continuous symbol σ having a finite number of ...
Widom, Harold, Basor, Estelle
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