2 papers
math-ph2019
On some integral operators appearing in scattering theory, and their resolutions
S. Richard, T. Umeda
We discuss a few integral operators and provide expressions for them in terms of smooth functions of some natural self-adjoint operators. These operators appear in the context of s…
math.SP2018
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…