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math.SP2003★ 7 cited
(Modified) Fredholm Determinants for Operators with Matrix-Valued Semi-Separable Integral Kernels Revisited
Fritz Gesztesy, Konstantin A. Makarov
We revisit the computation of (2-modified) Fredholm determinants for operators with matrix-valued semi-separable integral kernels. The latter occur, for instance, in the form of Gr…
math.SP2003
On the spectrum of Schrödinger operators with quasi-periodic algebro-geometric KdV potentials
Volodymyr Batchenko, Fritz Gesztesy
We characterize the spectrum of one-dimensional Schrödinger operators H=-d^2/dx^2+V with quasi-periodic complex-valued algebro-geometric potentials V (i.e., potentials V which sati…
math.SP2003
On Weyl-Titchmarsh Theory for Singular Finite Difference Hamiltonian Systems
Steve Clark, Fritz Gesztesy
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…