منابع مشابه
Weyl-Titchmarsh theory for symplectic difference systems
In this work, we establish Weyl–Titchmarsh theory for symplectic difference systems. This paper extends classical Weyl–Titchmarsh theory and provides a foundation for studying spectral theory of symplectic difference systems. 2010 Elsevier Inc. All rights reserved.
متن کاملWeyl-Titchmarsh Theory for Hamiltonian Dynamic Systems
and Applied Analysis 3 and spectral theory for the system 1.2 . Shi studied Weyl-Titchmarsh theory and spectral theory for the system 1.2 in 33, 34 ; Clark and Gesztesy established the Weyl-Titchmarsh theory for a class of discrete Hamiltonian systems that include system 1.2 23 . Sun et al. established the GKN-theory for the system 1.2 35 . 1.3. Dynamic Equations A time scale T is an arbitrary ...
متن کاملWeyl–Titchmarsh Theory for Schrödinger Operators with Strongly Singular Potentials
We develop Weyl–Titchmarsh theory for Schrödinger operators with strongly singular potentials such as perturbed spherical Schrödinger operators (also known as Bessel operators). It is known that in such situations one can still define a corresponding singular Weyl m-function and it was recently shown that there is also an associated spectral transformation. Here we will give a general criterion...
متن کاملOn Weyl–titchmarsh Theory for Singular Finite Difference Hamiltonian Systems
We develop the basic theory of matrix-valued Weyl–Titchmarsh M-functions and the associated Green’s matrices for whole-line and half-line self-adjoint Hamiltonian finite difference systems with separated boundary conditions.
متن کاملSingular Weyl–Titchmarsh–Kodaira theory for Jacobi operators
We develop singular Weyl–Titchmarsh–Kodaira theory for Jacobi operators. In particular, we establish existence of a spectral transformation as well as local Borg–Marchenko and Hochstadt–Liebermann type uniqueness results.
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ژورنال
عنوان ژورنال: Nagoya Mathematical Journal
سال: 2012
ISSN: 0027-7630,2152-6842
DOI: 10.1017/s002776300001045x