3 papers
math.FA2025
Fredholm operators on abelian phase spaces
Robert Fulsche, Raffael Hagger
We study the Fredholm property for linear operators on coorbit spaces over locally compact abelian phase spaces. As a special case we consider operators on , where is a…
math.FA2025
Band-dominated and Fourier-band-dominated operators on locally compact abelian groups
Robert Fulsche, Raffael Hagger
By relating notions from quantum harmonic analysis and band-dominated operator theory, we prove that over any locally compact abelian group , the operator algebra …
math.FA2024
Quantum harmonic analysis for polyanalytic Fock spaces
Robert Fulsche, Raffael Hagger
We develop the quantum harmonic analysis framework in the reducible setting and apply our findings to polyanalytic Fock spaces. In particular, we explain some phenomena observed in…