4 papers · 1 filter
A Wiener algebra for Fock space operators
Robert Fulsche
We introduce an algebra of linear operators that act continuously on each of the Fock spaces , , and contains all Toeplitz operators wit…
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…
Quantum Harmonic Analysis on locally compact abelian groups
Robert Fulsche, Niklas Galke
We extend the notions of quantum harmonic analysis, as introduced in R. Werner's paper from 1984 (J. Math. Phys. 25(5)), to abelian phase spaces, by which we mean a locally compact…
Commutative -invariant Toeplitz C algebras on the Fock space and their Gelfand theory through Quantum Harmonic Analysis
Robert Fulsche, Miguel Angel Rodriguez Rodriguez
We discuss the notion of spectral synthesis for the setting of Quantum Harmonic Analysis. Using these concepts, we study subalgebras of the full Toeplitz algebra with certain invar…