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20172022
most citedIndex theorems for Fredholm, semi-Fredholm, and almost periodic operators: all in one example

1 citations · 2 across the 4 of their papers we have counts for

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math-ph2022

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…

math-ph2020

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…

math-ph2017★ 1 cited

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…