Indefinite Hamiltonian systems whose Titchmarsh-Weyl coefficients have no finite generalized poles of non-positive type

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Indefinite Hamiltonian Systems Whose Titchmarsh––weyl Coefficients Have No Finite Generalized Poles of Non–positive Type

The two-dimensional Hamiltonian system (∗) y′(x) = zJH(x)y(x), x ∈ (a,b), where the Hamiltonian H takes non-negative 2× 2-matrices as values, and J := ( 0 −1 1 0 ) , has attracted a lot of interest over the past decades. Special emphasis has been put on operator models and direct and inverse spectral theorems. Weyl theory plays a prominent role in the spectral theory of the equation, relating t...

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ژورنال

عنوان ژورنال: Operators and Matrices

سال: 2013

ISSN: 1846-3886

DOI: 10.7153/oam-07-29