Robert Fulsche

Band-dominated and Fourier-band-dominated operators on locally compact abelian groups

Abstract By relating notions from quantum harmonic analysis and band-dominated operator theory, we prove that, over any locally compact abelian group 𝐺, the operator algebra C 1 \mathcal{C}_{1} from quantum harmonic analysis agrees with the intersection of band-dominated operator...

Convolutions of Orlicz spaces and Orlicz Schatten classes, with applications to Toeplitz operators

Abstract Let $$\Phi $$ Φ be a Young function. We study convolution properties for symbol classes $$s_{A,\Phi }$$ s A , Φ , which consist of all a such that the pseudo-differential operator $$\operatorname {Op}_A(a)$$ Op A ( a ) is in the Orlicz Schatten class $$\mathscr {I}_\Phi...

Rotationally-Continuous Operators on the Fock Space

Abstract We study operators on the Fock space for which conjugation by the rotation operators induces a continuous action of the circle group. We prove that this class of operators can be identified with the space of band-dominated operators on $$\ell ^2({\mathbb {N}}_0)$$ ℓ 2 (...