Wiener-Hopf indices of unimodular functions on the unit circle, revisited. (English) Zbl 07874832
Reviewer: Adhemar Bultheel (Leuven)
Found 46 Documents (Results 1–46)
Wiener-Hopf factorization indices of rational matrix functions with respect to the unit circle in terms of realization. (English) Zbl 1508.30007
The twofold Ellis-Gohberg inverse problem for rational matrix functions on the real line. (English) Zbl 1540.47025
Bauer, Wolfram (ed.) et al., Operator algebras, Toeplitz operators and related topics. Selected papers based on the presentations at the international workshop, Boca del Rio, Veracruz, Mexico, November 13–19, 2018. In honor of Nikolai Vasilevskin on the occasion of his 70th birthday. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 279, 145-173 (2020).
Wiener-Hopf indices of unitary functions on the unit circle in terms of realizations and related results on Toeplitz operators. (English) Zbl 06722466
Skew-selfadjoint Dirac systems with rational rectangular Weyl functions: explicit solutions of direct and inverse problems and integrable wave equations. (English) Zbl 1376.37111
State space formulas for a suboptimal rational Leech problem. I: Maximum entropy solution. (English) Zbl 1318.47023
State space formulae for stable rational matrix solutions of a Leech problem. (English) Zbl 1298.47020
Inverting structured operators related to Toeplitz plus Hankel operators. (English) Zbl 1293.47013
Kaashoek, Marinus A. (ed.) et al., Advances in structured operator theory and related areas. The Leonid Lerer anniversary volume on the occasion of his 70th birthday. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0638-1/hbk; 978-3-0348-0639-8/ebook). Operator Theory: Advances and Applications 237, 161-187 (2013).
Reviewer: Trieu Le (Toledo)
Rational matrix solutions of a Bezout type equation on the half-plane. (English) Zbl 1293.47028
Kaashoek, Marinus A. (ed.) et al., Advances in structured operator theory and related areas. The Leonid Lerer anniversary volume on the occasion of his 70th birthday. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0638-1/hbk; 978-3-0348-0639-8/ebook). Operator Theory: Advances and Applications 237, 145-160 (2013).
Reviewer: Trieu Le (Toledo)
Canonical factorization of rational matrix functions. A note on a paper by P. Dewilde. (English) Zbl 1328.47028
Right invertible multiplication operators and stable rational matrix solutions to an associate Bezout equation. I: The least squares solution. (English) Zbl 1293.47027
The non-symmetric discrete algebraic Riccati equation and canonical factorization of rational matrix functions on the unit circle. (English) Zbl 1210.47045
Reviewer: Ilie Valuşescu (Bucureşti)
Discrete skew self-adjoint canonical system and the isotropic Heisenberg magnet model. (English) Zbl 1140.47311
Schur complements and state space realizations. (English) Zbl 1083.47016
Reviewer: Yuri I. Karlovich (Cuernavaca)
On inversion of finite Toeplitz matrices with elements in an algebraic ring. (English) Zbl 1058.15004
Reviewer: Rabe von Randow (Bonn)
Finite section method for linear ordinary differential equations. (English) Zbl 0954.34026
Reviewer: Marian Ivanovici (Craiova)
Wiener-Hopf factorization of transfer functions of extended Pritchard-Salamon realizations. (English) Zbl 0932.47016
Reviewer: D.Kalyuzhniy (Odessa)
Weighting operator patterns of Pritchard-Salamon realizations. (English) Zbl 0891.93021
Integral Equations Oper. Theory 27, No. 1, 48-70 (1997); errata ibid. 52, No. 3, 451-453 (2005).
Reviewer: Hans Zwart (Enschede)
Minimal and optimal linear discrete time-invariant dissipative scattering systems. (English) Zbl 0898.47005
Factorization of banded lower triangular infinite matrices. (English) Zbl 0862.15008
Reviewer: E.Ellers (Toronto)
Classification of linear time-varying difference equations under kinematic similarity. (English) Zbl 0860.39008
Reviewer: A.D.Mednykh (Novosibirsk)
Invertibility and dichotomy of differential operators on a half-line. (English) Zbl 0771.34011
Reviewer: E.Barvínek (Brno)
Factorizations of and extensions to J-unitary rational matrix functions on the unit circle. (English) Zbl 0792.47012
Reviewer: G.P.A.Thijsse (Rotterdam)
MSC:
47A56
Characteristic matrices and spectral properties of evolutionary systems. (English) Zbl 0768.34041
Reviewer: M.Möller (Regensburg)
Regular rational matrix functions with prescribed null and pole data except at infinity. (English) Zbl 0721.15015
Inversion of convolution equations on a finite interval and realization triples. (English) Zbl 0702.47017
Reviewer: V.Matache
General theory of regular matrix polynomials and band Toeplitz operators. (English) Zbl 0671.15012
Reviewer: G.Ph.A.Thijsse
Rational contractive and unitary interpolants in realized form. (English) Zbl 0649.47016
Reviewer: Y.Kato
An inverse spectral problem for rational matrix functions and minimal divisibility. (English) Zbl 0621.47023
Wiener-Hopf factorization, inverse Fourier transforms and exponentially dichotomous operators. (English) Zbl 0606.47021
Fredholm theory of Wiener-Hopf equations in terms of realization of their symbols. (English) Zbl 0578.45005
Non-compact integral operators with semi-separable kernels and their discrete analogues: Inversion and Fredholm properties. (English) Zbl 0549.45001
Reviewer: N.Vasilevski
MSC:
45B05
Time varying linear systems with boundary conditions and integral operators. I: The transfer operator and its properties. (English) Zbl 0541.93049
Reviewer: A.Vardulakis
Analytic operator functions with compact spectrum. II. Spectral pairs and factorization. (English) Zbl 0493.47015
Analytic operator functions with compact spectrum. I. Spectral nodes, linearization and equivalence. (English) Zbl 0476.47013
Stable factorizations of monic matrix polynomials and stable invariant subspaces. (English) Zbl 0398.47011
Equivalence, linearization, and decomposition of holomorphic operator functions. (English) Zbl 0384.47018
The integral formula for the reduced algebraic multiplicity of meromorphic operator functions. (English) Zbl 0376.47008
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