5 citations · 7 across the 5 of their papers we have counts for
6 papers
Scattering theory and an index theorem on the radial part of SL(2,R)
H. Inoue, S. Richard
We present the spectral and scattering theory of the Casimir operator acting on the radial part of SL(2,R). After a suitable decomposition, these investigations consist in studying…
Gibbs states, algebraic dynamics and generalized Riesz systems
Fabio Bagarello, Hiroshi Inoue, Camillo Trapani
In PT-quantum mechanics the generator of the dynamics of a physical system is not necessarily a self-adjoint Hamiltonian. It is now clear that this choice does not prevent to get a…
Schroedinger wave operators on the discrete half-line
Hideki Inoue, Naohiro Tsuzu
An explicit formula for the wave operators associated with Schroedinger operators on the discrete half-line is deduced from their stationary expressions. The formula enables us to…
Explicit formula for Schroedinger wave operators on the half-line for potentials up to optimal decay
Hideki Inoue
We give an explicit formula for the wave operators for Schroedinger operators on the half-line with a potential decaying strictly faster than the polynomial of degree minus two. Th…
Topological Levinson's theorem for inverse square potentials: complex, infinite, but not exceptional
H. Inoue, S. Richard
In this review paper we carry on our investigations on Schroedinger operators with inverse square potentials on the half-line. Depending on several parameters, such operators posse…
Index theorems for Fredholm, semi-Fredholm, and almost periodic operators: all in one example
H. Inoue, S. Richard
Based on operators borrowed from scattering theory, several concrete realizations of index theorems are proposed. The corresponding operators belong to some C*-algebras of pseudo-d…