scholarly journals On a conjecture of Bennewitz, and the behaviour of the Titchmarsh–Weyl matrix near a pole

1998 ◽  
Vol 454 (1973) ◽  
pp. 1383-1406
Author(s):  
B. M. Brown ◽  
M. Marletta
Keyword(s):  
Weyl Matrix

Erratum: Recovery of the Dirac system from the rectangular Weyl matrix function

2012 ◽  
Vol 28 (2) ◽  
pp. 029601
Author(s):  
B Fritzsche ◽  
B Kirstein ◽  
I Ya Roitberg ◽  
A L Sakhnovich
Keyword(s):  
Matrix Function ◽  
Dirac System ◽  
Weyl Matrix

scholarly journals Recovery of the Dirac system from the rectangular Weyl matrix function

2011 ◽  
Vol 28 (1) ◽  
pp. 015010 ◽  
Author(s):  
B Fritzsche ◽  
B Kirstein ◽  
I Ya Roitberg ◽  
A L Sakhnovich
Keyword(s):  
Matrix Function ◽  
Dirac System ◽  
Weyl Matrix

On the Weyl Matrix Balls Associated with the Matricial Schur Problem in the Nondegenerate and Degenerate Cases

2007 ◽  
Vol 2 (1) ◽  
pp. 29-54 ◽  
Author(s):  
Vladimir Kirillovich Dubovoj ◽  
Bernd Fritzsche ◽  
Bernd Kirstein ◽  
Andreas Lasarow
Keyword(s):  
Weyl Matrix ◽  
Matricial Schur Problem ◽  
Degenerate Cases

A Titchmarsh-Weyl matrix function for symmetric differential equations of order 2n with an indefinite weight function

1984 ◽  
Vol 98 (3-4) ◽  
pp. 311-337
Author(s):  
Karim Daho
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Weight Function ◽  
Matrix Function ◽  
Present Author ◽  
Krein Space ◽  
Indefinite Weight ◽  
Weyl Matrix ◽  
Indefinite Weight Function ◽  
Image Position

SynopsisA Titchmarsh-Weyl matrix function W(λ) is defined for the differential equation of order 2nwith po>0, pk≧0, k = 1, 2, …, n on 005B;0, b), λєℂ and an indefinite weight function r. It is shown that this function W(λ) belongs to some class and that some operators associated with the above equation are definitizable in the Krein space . In the particular case n = 1, these results are contained in an earlier paper by the present author and H. Langer.

Parameterization of the M(λ) function for a Hamiltonian system of limit circle type

1983 ◽  
Vol 93 (3-4) ◽  
pp. 349-360 ◽  
Author(s):  
D. B. Hinton ◽  
J. K. Shaw
Keyword(s):  
Hamiltonian System ◽  
Hamiltonian Systems ◽  
Deficiency Index ◽  
Limit Circle ◽  
Weyl Matrix ◽  
Linear Hamiltonian Systems ◽  
Limit Circle Case ◽  
Special Case ◽  
Circle Case

SynopsisThe authors continue their study of Titchmarch-Weyl matrix M(λ) functions for linear Hamiltonian systems. A representation for the M(λ) function is obtained in the case where the system is limit circle, or maximum deficiency index, type. The representation reduces, in a special case, to a parameterization for scalar m-coefficients due to C. T. Fulton. A proof that matrix M(λ) functions are meromorphic in the limit circle case is given.

THE DISSIPATIVITY CONDITIONS AND THE WEYL MATRIX LIMIT POINT

1979 ◽  
Vol 34 (3) ◽  
pp. 224-224
Author(s):  
M Kh Zakhar-Itkin
Keyword(s):  
Limit Point ◽  
Weyl Matrix

Gluing graphs and the spectral gap: a Titchmarsh–Weyl matrix-valued function approach

2020 ◽  
Vol 255 (3) ◽  
pp. 303-326 ◽  
Author(s):  
Pavel Kurasov ◽  
Sergei Naboko
Keyword(s):  
Spectral Gap ◽  
Function Approach ◽  
Weyl Matrix
Sign in / Sign up

Export Citation Format

Share Document