2 citations · 4 across the 17 of their papers we have counts for
6 papers · 1 filter
Commutative C* algebras and Gelfand theory through phase space methods
Robert Fulsche, Oliver Fürst
We show how the Gelfand spectrum of certain commutative operator algebras can be studied based on the theorem of Stone and von Neumann. The method presented is a natural addition t…
Heisenberg-smooth operators from the phase space perspective
Robert Fulsche, Lauritz van Luijk
Cordes' characterization of Heisenberg-smooth operators bridges a gap between the theory of pseudo-differential operators and quantum harmonic analysis (QHA). We give a new proof o…
Negative eigenvalue estimates for the 1D Schr{ö}dinger operator with measure-potential
Robert Fulsche, Medet Nursultanov, Grigori Rozenblum
We investigate the negative part of the spectrum of the operator on , where a locally finite Radon measure is serving as a potential. We…
Essential positivity for Toeplitz operators on the Fock space
Robert Fulsche
In this short note, we discuss essential positivity of Toeplitz operators on the Fock space, as motivated by a recent question of Perälä and Virtanen. We give a proper characteriza…
Operators in the Fock-Toeplitz algebra
Wolfram Bauer, Robert Fulsche, Miguel Angel Rodriguez Rodriguez
We consider various classes of bounded operators on the Fock space of Gaussian square integrable entire functions over the complex plane. These include Toeplitz (type) operat…
Wiener's Tauberian theorem in classical and quantum harmonic analysis
Robert Fulsche, Franz Luef, Reinhard F. Werner
We investigate Wiener's Tauberian theorem from the perspective of limit functions, which results in several new versions of the Tauberian theorem. Based on this, we formulate and p…