11 papers
Three short tales on the parity operator
Robert Fulsche
In this paper, we discuss three short topics related to the parity operator and his role in quantum harmonic analysis. We derive results for the Fredholm index of even and odd oper…
Orlicz Space Interpolation and Its Applications to Operator Convolution
Wolfram Bauer, Robert Fulsche, Joachim Toft
We prove a strong-type interpolation result for noncommutative Orlicz spaces over semifinite von Neumann algebras. Based on this result, we obtain Young-type convolution estimates…
The function-operator convolution algebra over the Bergman space of the ball and its Gelfand theory
Vishwa Dewage, Robert Fulsche, Gestur Ãlafsson
We investigate the structure of the commutative Banach algebra formed as the direct sum of integrable radial functions on the disc and the radial operators on the Bergman space, en…
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…
Rotationally-continuous operators on the Fock space
Robert Fulsche
We study operators on the Fock space on which by adjoining the rotation operators implements a continuous action of the circle group. We prove that this class of operators can be i…
Convolutions of Orlicz spaces and Orlicz Schatten classes, with applications to Toeplitz operators
Wolfram Bauer, Robert Fulsche, Joachim Toft
Let be a Young function. We study convolution properties for symbol classes , which consist of all such that the pseudo-differential operator $\operatorname{Op}…