L. Lerer

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All published works

Action	Title	Year	Authors
+	The band method and inverse problems for orthogonal matrix functions of Szegő–Kreǐn type	2012	M. A. Kaashoek L. Lerer
+	On a class of matrix polynomial equations	2012	M. A. Kaashoek L. Lerer
+	The Discrete Algebraic Riccati Equation and Hermitian Block Toeplitz Matrices	2012	L. Lerer André C. M. Ran
+	A Panorama of Modern Operator Theory and Related Topics	2012	Harry Dym M. A. Kaashoek Peter Lancaster Heinz Langer L. Lerer
+ PDF Chat	Krein Systems and Canonical Systems on a Finite Interval: Accelerants with a Jump Discontinuity at the Origin and Continuous Potentials	2010	Daniel Alpay Israel Gohberg M. A. Kaashoek L. Lerer Alexander Sakhnovich
+	Quasi Commutativity of Regular Matrix Polynomials: Resultant and Bezoutian	2010	M. A. Kaashoek L. Lerer
+	Introduction	2010	L. Lerer Vadim Olshevsky Ilya M. Spitkovsky
+	Convolution equations and singular integral operators : selected papers of Israel Gohberg and Georg Heinig, Israel Gohberg and Nahum Krupnik	2010	Israel Gohberg Georg Heinig Nahum Krupnik L. Lerer Vadim Olshevsky Ilya M. Spitkovskiĭ
+	Krein systems and canonical systems on a finite interval: accelerants with a jump discontinuity at the origin and continuous potentials	2009	Daniel Alpay Israel Gohberg M. A. Kaashoek L. Lerer Alexander Sakhnovich
+	Krein Systems	2009	Daniel Alpay Israel Gohberg M. A. Kaashoek L. Lerer Alexander Sakhnovich
+	Krein systems	2009	Daniel Alpay Israel Gohberg M. A. Kaashoek L. Lerer Alexander Sakhnovich
+	The resultant for regular matrix polynomials and quasi commutativity	2008	Israel Gohberg M. A. Kaashoek L. Lerer
+	The Continuous Analogue of the Resultant and Related Convolution Operators	2007	Israel Gohberg M. A. Kaashoek L. Lerer
+	The inverse problem for Krein orthogonal matrix functions	2007	Israel Gohberg M. A. Kaashoek L. Lerer
+	On a class of entire matrix function equations	2007	Israel Gohberg M. A. Kaashoek L. Lerer
+ PDF Chat	Обратная задача для ортогональных матричных функций Крейна	2007	Израиль Цудикович Гохберг Израиль Цудикович Гохберг М А Каасхук M. A. Kaashoek L. Lerer L. Lerer
+	The Bezout integral operator: main property and underlying abstract scheme. The state space method generalizations and applications	2006	Israel Gohberg Iulian Haimovici M.A. Kaashoek L. Lerer
+	Quasi-commutativity of Entire Matrix Functions and the Continuous Analogue of the Resultant	2006	Israel Gohberg M. A. Kaashoek L. Lerer
+	Recent Advances in Operator Theory and its Applications	2005	Israel Gohberg Daniel Alpay Jonathan Arazy Aharon Atzmon Joseph A. Ball Asher Ben-Artzi Hari Bercovici Albrecht Böttcher Kevin F. Clancey L. A. Coburn
+	A New Inertia Theorem for Stein Equations, Inertia of Invertible Hermitian Block Toeplitz Matrices and Matrix Orthogonal Polynomials	2003	L. Lerer André C. M. Ran
+	Inertia Bounds for Operator Polynomials	2002	L. Lerer Leiba Rodman
+	Matrix quadratic equations column/row reduced factorizations and an inertia theorem for matrix polynomials	2001	Irina Karelin L. Lerer
+	Generalized Bezoutian, Factorization of Rational Matrix Functions and Matrix Quadratic Equations	2001	Irina Karelin L. Lerer
+	Bezoutians of rational matrix functions, matrix equations and factorizations	1999	L. Lerer Leiba Rodman
+	Inertia Theorems for Hilbert Space Operators Based on Lyapunov and Stein Equations	1999	L. Lerer Leiba Rodman
+	J-pseudo-spectral andJ-inner-pseudo-outer factorizations for matrix polynomials	1997	L. Lerer André C. M. Ran
+	Factorization of banded lower triangular infinite matrices	1996	Israel Gohberg M. A. Kaashoek L. Lerer
+	Bezoutians of Rational Matrix Functions	1996	L. Lerer Leiba Rodman
+	Common Zero Structure of Rational Matrix Functions	1996	L. Lerer Leiba Rodman
+	Symmetric factorizations and localization of zeroes of rational matrix functions	1996	L. Lerer Leiba Rodman
+	Inertia of Operator Polynomials and Stability of Differential Equations	1995	L. Lerer Leiba Rodman
+	Bezout operators for analytic operator functions, I. A general concept of Bezout operator	1995	Iulian Haimovici L. Lerer
+	Operator Theory in Function Spaces and Banach Lattices	1995	Jonathan Arazy Aharon Atzmon Joseph A. Ball Blackburg Ben-Artzi Hari Bercovici Albrecht Böttcher L. A. Coburn Kenneth R. Davidson Robert J. Douglas Rehovot Dym
+	Inversion of structured operators	1994	I. Koltracht B. A. Kon L. Lerer
+	Toeplitz Operators and Related Topics	1994	Tel Aviv Russell Davidson Peter Fuhrmann Seymour Goldberg G Heinig J.C. Helton La Jolla M. A. Kaashoek Amsterdam Kailath Hans G. Kaper
+	Spectrum separation and inertia for operator polynomials	1992	L. Lerer Leiba Rodman
+	A directional partial realization problem	1991	Israel Gohberg M. A. Kaashoek L. Lerer
+	Inertia theorems for matrix polynomials	1991	L. Lerer Leiba Rodman M. Tismenetsky
+	Haifa 1988 conference on matrix theory	1989	Abraham Berman Daniel Hershkowitz L. Lerer
+	The Matrix Quadratic Equation and Factorization of Matrix Polynomials	1989	L. Lerer
+	The Matrix Quadratic Equation and Factorization of Matrix Polynomials	1989	L. Lerer
+	Generalized Bezoutian and matrix equations	1988	L. Lerer M. Tismenetsky
+	Matrix Generalizations of M. G. Krein Theorems on Orthogonal Polynomials	1988	Israel Gohberg L. Lerer
+	Nodes and Realization of Rational Matrix Functions: Minimality Theory and Applications	1988	Israel Gohberg M. A. Kaashoek L. Lerer
+	Resultant operators and the Bezout equation for analytic matrix functions, I	1987	L. Lerer Hugo J. Woerdeman
+	Resultant operators and the Bezout equation for analytic matrix functions, II	1987	L. Lerer Hugo J. Woerdeman
+	Generalized Bezoutian and the inversion problem for block matrices, I. General scheme	1986	L. Lerer M. Tismenetsky
+	Minimality and irreducibility of time-invariant linear boundary-value systems	1986	Israel Gohberg M. A. Kaashoek L. Lerer
+	On Toeplitz and Wiener-Hopf Operators with Contourwise Rational Matrix and Operator Symbols	1986	Israel Gohberg M. A. Kaashoek L. Lerer Leiba Rodman
+	Resultant operators for analytic functions in a simple-connected domain	1986	B. A. Kon L. Lerer
+	On the location of spectrum of matrix polynomials	1985	L. Lerer M. Tismenetsky
+	Factored forms for solutions of AX − XB = C and X − AXB = C in companion matrices	1984	Peter Lancaster L. Lerer M. Tismenetsky
+	Bezoutian and Schur-Cohn problem for operator polynomials	1984	L. Lerer Leiba Rodman M. Tismenetsky
+	Wiener-Hopf factorization of placewise matrix polynomials	1983	Israel Gohberg L. Lerer Leiba Rodman
+	On non-square sections of Wiener-Hopf operators	1982	Israel Gohberg L. Lerer
+	The Bezoutian and the eigenvalue-separation problem for matrix polynomials	1982	L. Lerer M. Tismenetsky
+	Common multiples and common divisors of matrix polynomials, II. Vandermonde and resultant matrices	1982	Israel Gohberg M. A. Kaashoek L. Lerer Leiba Rodman
+	Stable factorization of operator polynomials. II. Main results and applications to Toeplitz operators	1980	Israel Gohberg L. Lerer Leiba Rodman
+	Stable factorization of operator polynomials, I. Spectral divisors simply behaved at infinity	1980	Israel Gohberg L. Lerer Leiba Rodman
+	Factorization indices and kronecker indices of matrix polynomials	1979	Israel Gohberg L. Lerer
+	On approximating the spectrum of convolution-type operators, 1. Wiener—Hopf matricial integral operators	1978	L. Lerer
+ PDF Chat	Resultant operators of a pair of analytic functions	1978	Israel Gohberg L. Lerer
+	On canonical factorization of operator polynomials, spectral divisors and toeplitz matrices	1978	Israel Gohberg L. Lerer Leiba Rodman
+ PDF Chat	Factorization indices for matrix polynomials	1978	Israel Gohberg L. Lerer Leiba Rodman
+	Singular integral operators as a generalization of the resultant matrix	1978	Israel Gohberg L. Lerer
+	Basis sequences in a Montel space	1969	L. Lerer

Common Coauthors

Coauthor	Papers Together
Israel Gohberg	28
M. A. Kaashoek	23
Leiba Rodman	18
M. Tismenetsky	7
Daniel Alpay	5
Alexander Sakhnovich	4
Peter Lancaster	3
Vladimir Peller	3
André C. M. Ran	3
G Heinig	3
Hans G. Kaper	3
L. A. Coburn	2
Seiji Kuroda	2
Jonathan Arazy	2
Irina Karelin	2
Iulian Haimovici	2
Harry Dym	2
Donald Sarason	2
Dan-Virgil Voiculescu	2
Vadim Olshevsky	2
Hugo J. Woerdeman	2
Ilya M. Spitkovsky	2
Kenneth R. Davidson	2
Aharon Atzmon	2
Seymour Goldberg	2
B. A. Kon	2
Harold Widom	2
Joseph A. Ball	2
Peter Fuhrmann	2
Hari Bercovici	2
Harald Upmeier	2
Amsterdam Kailath	2
Albrecht Böttcher	2
J.C. Helton	2
La Jolla	2
Kevin F. Clancey	1
James Rovnyak	1
Blackburg Ben-Artzi	1
Abraham Berman	1
Berkeley Kato	1
Bernhard Gramsch	1
М А Каасхук	1
Израиль Цудикович Гохберг	1
R. G. Douglas	1
I. Koltracht	1
Georg Heinig	1
C. V. M. van der Mee	1
Tel Aviv	1
B. Widom	1
Dauxing Xia	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The Bezoutian and the eigenvalue-separation problem for matrix polynomials	1982	L. Lerer M. Tismenetsky	17
+	Greatest common divisor via generalized Sylvester and Bezout matrices	1978	Robert R. Bitmead Sun‐Yuan Kung Brian D. O. Anderson T. Kailath	16
+	Matrix Generalizations of M. G. Krein Theorems on Orthogonal Polynomials	1988	Israel Gohberg L. Lerer	13
+	Common multiples and common divisors of matrix polynomials, II. Vandermonde and resultant matrices	1982	Israel Gohberg M. A. Kaashoek L. Lerer Leiba Rodman	12
+	The method of symmetric and Hermitian forms in the theory of the separation of the roots of algebraic equations	1981	M. Г. Крейн M. A. Naĭmark	12
+	The Bezoutian and the algebraic Riccati equation	1984	Kevin F. Clancey B. A. Kon	12
+	Bezoutian and Schur-Cohn problem for operator polynomials	1984	L. Lerer Leiba Rodman M. Tismenetsky	11
+	Spectral analysis of matrix polynomials— I. canonical forms and divisors	1978	Israel Gohberg Peter Lancaster Leiba Rodman	9
+	Convolution equations and projection methods for their solution	2005	Israel Gohberg Israel Feldman	9
+	Generalized Bezoutian and matrix equations	1988	L. Lerer M. Tismenetsky	9
+	Algebraic Methods for Toeplitz-like Matrices and Operators	1984	Georg Heinig Karla Rost	9
+	Bezout operators for analytic operator functions, I. A general concept of Bezout operator	1995	Iulian Haimovici L. Lerer	9
+	Factorization of selfadjoint matrix polynomials with constant signature	1982	Israel Gohberg Peter Lancaster Leiba Rodman	8
+	Factorization of Matrix Functions and Singular Integral Operators	1981	Kevin F. Clancey Israel Gohberg	7
+	The Continuous Analogue of the Resultant and Related Convolution Operators	2007	Israel Gohberg M. A. Kaashoek L. Lerer	7
+	Factored forms for solutions of AX − XB = C and X − AXB = C in companion matrices	1984	Peter Lancaster L. Lerer M. Tismenetsky	7
+	The kernel of the bezoutian for operator Polynomials<sup>∗</sup>	1985	Peter Lancaster John Maroulas	7
+	Problems of control and information theory (Hungary)	1980	Stephen M. Barnett Peter Lancaster	6
+ PDF Chat	XVIII. On a theory of the syzygetic relations of two rational integral functions, comprising an application to the theory of Sturm’s functions, and that of the greatest algebraical common measure	1853	J.J. Sylvester	6
+	Bezoutiante, Resultante und Spektralverteilungsprobleme für Operatorpolynome	1979	Georg Heinig	6
+ PDF Chat	Operator theory: Advances and applications	1991		6
+	On spectral analysis of non-monic matrix and operator polynomials, I. Reduction to monic polynomials	1978	Israel Gohberg Leiba Rodman	6
+	Stable factorization of operator polynomials, I. Spectral divisors simply behaved at infinity	1980	Israel Gohberg L. Lerer Leiba Rodman	6
+ PDF Chat	Representations and Divisibility of Operator Polynomials	1978	Israel Gohberg Peter Lancaster Leiba Rodman	6
+	Interpolation of Rational Matrix Functions	1990	Joseph A. Ball Israel Gohberg Leiba Rodman	6
+	Bezoutians of Rational Matrix Functions	1996	L. Lerer Leiba Rodman	6
+	On the Routh-Hurwitz-Fujiwara and the Schur-Cohn-Fujiwara theorems for the root-separation problem	1978	Biswa Nath Datta	6
+	On spectral analysis of non-monic matrix and operator polynomials, II. Dependence on the finite spectral data	1978	Israel Gohberg Leiba Rodman	6
+	Common Zero Structure of Rational Matrix Functions	1996	L. Lerer Leiba Rodman	6
+	Regular polynomial matrices having relatively prime determinants	1969	S. J. Barnett	5
+	Spectral analysis of matrix polynomials— II. The resolvent form and spectral divisors	1978	Israel Gohberg Peter Lancaster Leiba Rodman	5
+	�ber die algebraischen Gleichungen, deren Wurzeln in einem Kreise oder in einer Halbebene liegen	1926	Matsusabur� Fujiwara	5
+	A Generalization of the Inertia Theorem	1973	Chi‐Tsong Chen	5
+	Stability of Solutions of Differential Equations in Banach Space	2002	Ju. Daleckiĭ M. Г. Крейн	5
+	An Introduction to Operator Polynomials	1989	Leiba Rodman	5
+	On the discriminant function of two commuting nonselfadjoint operators	1980	N. Kravitsky	5
+	Algebraic Riccati Equations	2006	Peter Lancaster Leiba Rodman	5
+	Generalized Bezoutian and the inversion problem for block matrices, I. General scheme	1986	L. Lerer M. Tismenetsky	5
+	Orthogonal Systems and Convolution Operators	2003	Robert Leslie Ellis Israel Gohberg	5
+	On the effective computation of the inertia of a non-hermitian matrix	1979	David Carlson Biswa Nath Datta	4
+	Spectrum separation and inertia for operator polynomials	1992	L. Lerer Leiba Rodman	4
+	Analytic operator functions with compact spectrum. II. Spectral pairs and factorization	1982	M. A. Kaashoek C. V. M. van der Mee Leiba Rodman	4
+	Some theorems on the inertia of general matrices	1962	Alexander Ostrowski Hans Schneider	4
+	Matrix equation, matrix polynomial and the number of zeros of a polynomial inside the unit circle	1980	Biswa Nath Datta	4
+	Operational bezutiant in the theory of separation of roots of entire functions	1976	Lev Sakhnovich	4
+	Factorizations of Transfer Functions	1980	Harm Bart Israel Gohberg M. A. Kaashoek Paul Van Dooren	4
+	On symmetric rational transfer functions	1983	Paul A. Fuhrmann	4
+ PDF Chat	Factorization indices for matrix polynomials	1978	Israel Gohberg L. Lerer Leiba Rodman	4
+	Inertia theorems for matrix polynomials	1991	L. Lerer Leiba Rodman M. Tismenetsky	4
+ PDF Chat	Resultant operators of a pair of analytic functions	1978	Israel Gohberg L. Lerer	4