59 citations · 147 across the 29 of their papers we have counts for
5 papers · 1 filter
On the wave operators for the Friedrichs-Faddeev model
H. Isozaki, S. Richard
We provide new formulae for the wave operators in the context of the Friedrichs-Faddeev model. Continuity with respect to the energy of the scattering matrix and a few results on e…
Conic singularities, generalized scattering matrix, and inverse scattering on asymptotically hyperbolic surfaces
Hiroshi Isozaki, Yaroslav Kurylev, Matti Lassas
We consider an inverse problem associated with some 2-dimensional non-compact surfaces with conical singularities, cusps and regular ends. Our motivating example is a Riemann surfa…
Trace formulas for Schrödinger operators from the view point of complex analysis
Hiroshi Isozaki, Evgeny L. Korotyaev
We consider the Schr{ö}dinger operator in with a real short-range (integrable) potential . Using the associated Fredholm determinant, we present new t…
Inverse problems, trace formulae for discrete Schrödinger operators
Hiroshi Isozaki, Evgeny Korotyaev
We study discrete Schroedinger operators with compactly supported potentials on the square lattice. Constructing spectral representations and representing S-matrices by the general…
Introduction to spectral theory and inverse problem on asymptotically hyperbolic manifolds
Hiroshi Isozaki, Yaroslav Kurylev
We study the spectral theory and inverse problem on asymptotically hyperbolic manifolds. The main subjects are as follows: (1)Location of the essential spectrum. (2)Absence of eige…