[PDF][PDF] The analytic theory of matrix orthogonal polynomials
Orthogonal polynomials on the real line (OPRL) were developed in the nineteenth century
and orthogonal polynomials on the unit circle (OPUC) were initially developed around 1920 …
and orthogonal polynomials on the unit circle (OPUC) were initially developed around 1920 …
[HTML][HTML] On the deficiency indices and self-adjointness of symmetric Hamiltonian systems
The main purpose of this paper is to investigate the formal deficiency indices N±of a
symmetric first-order system [Formula: see text] on an interval I, where I= R or I= R±. Here J …
symmetric first-order system [Formula: see text] on an interval I, where I= R or I= R±. Here J …
Weyl–Titchmarsh 𝑀-Function Asymptotics, Local Uniqueness Results, Trace Formulas, and Borg-type Theorems for Dirac Operators
S Clark, F Gesztesy - Transactions of the American Mathematical Society, 2002 - ams.org
We explicitly determine the high-energy asymptotics for Weyl–Titchmarsh matrices
associated with general Dirac-type operators on half-lines and on $\mathbb {R} $. We also …
associated with general Dirac-type operators on half-lines and on $\mathbb {R} $. We also …
Inverse spectral problems for Dirac operators with summable potentials
S Albeverio, R Hryniv, Y Mykytyuk - arXiv preprint math/0701158, 2007 - arxiv.org
The spectral properties of Dirac operators on $(0, 1) $ with potentials that belong entrywise
to $ L_p (0, 1) $, for some $ p\in [1,\infty) $, are studied. The algorithm of reconstruction of the …
to $ L_p (0, 1) $, for some $ p\in [1,\infty) $, are studied. The algorithm of reconstruction of the …
[HTML][HTML] On Weyl–Titchmarsh theory for singular finite difference Hamiltonian systems
S Clark, F Gesztesy - Journal of Computational and Applied Mathematics, 2004 - Elsevier
On Weyl–Titchmarsh theory for singular finite difference Hamiltonian systems - ScienceDirect
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Trace formulas and Borg-type theorems for matrix-valued Jacobi and Dirac finite difference operators
S Clark, F Gesztesy, W Renger - Journal of Differential Equations, 2005 - Elsevier
Borg-type uniqueness theorems for matrix-valued Jacobi operators H and supersymmetric
Dirac difference operators D are proved. More precisely, assuming reflectionless matrix …
Dirac difference operators D are proved. More precisely, assuming reflectionless matrix …
Borg's periodicity theorems for first-order self-adjoint systems with complex potentials
A self-adjoint first-order system with Hermitian π-periodic potential Q (z), integrable on
compact sets, is considered. It is shown that all zeros of are double zeros if and only if this …
compact sets, is considered. It is shown that all zeros of are double zeros if and only if this …
[图书][B] Bitangential direct and inverse problems for systems of integral and differential equations
DZ Arov, H Dym - 2012 - books.google.com
This largely self-contained treatment surveys, unites and extends some 20 years of research
on direct and inverse problems for canonical systems of integral and differential equations …
on direct and inverse problems for canonical systems of integral and differential equations …
Inverse spectral theory for Sturm-Liouville operators with distributional potentials
We discuss inverse spectral theory for singular differential operators on arbitrary intervals
$(a, b)\subseteq\mathbb {R} $ associated with rather general differential expressions of the …
$(a, b)\subseteq\mathbb {R} $ associated with rather general differential expressions of the …
Inverse problems for the matrix Sturm–Liouville equation on a finite interval
V Yurko - Inverse Problems, 2006 - iopscience.iop.org
Inverse spectral problems are studied for the non-self-adjoint matrix Sturm–Liouville
differential equation on a finite interval. We give formulations of the inverse problems, prove …
differential equation on a finite interval. We give formulations of the inverse problems, prove …