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Let G be a non-compact connected semisimple Lie group of real rank one with finite center, K a maximal compact subgroup of G and X = G/K an associated symmetric space of real rank one. We will p...
Witten constructed a topological quantum field theory with the Chern-Simons action as Lagrangian. We define a proper noncommutative generalization of the Chern-Simons action. "Proper", in this context...
Abstract: For any Ritt operator $T$ acting on a noncommutative $L^p$-space, we define the notion of \textit{completely} bounded functional calculus $H^\infty(B_\gamma)$ where $B_\gamma$ is a Stolz dom...
We consider Toeplitz operators in different Bergman type spaces, having radial symbols with variable sign. We show that if the symbol has compact support or decays rapidly, the eigenvalues of such ope...
We study algebraic properties of Toeplitz operators on Berg-man spaces of polyanalytic functions on the unit disk. We obtain results on finite-rank commutators and semi-commutators of Toeplitz operato...
In this paper, we quantize universal gauge groups such as SU(∞), as well as their homogeneous spaces, in the -C-algebra setting.
Functions in backward shift invariant subspaces have nice analytic continuation properties outside the spectrum of the inner function defining the space. Inside the spectrum of the inner function.
One defines a non-homogeneous space (X, μ) as a metric space equipped with a non-doubling measure μ so that the volume of the ball with center x, radius r has an upper bound of the form rn for some n ...
Let $\mu$ be a non-negative Radon measure on ${\mathbb R}^d$ which satisfies only some growth conditions. Under this assumption, the boundedness in some Hardy-type spaces is established for a class of...
In the present paper, a problem of Ioana Mihaila is negatively answered on the invertibility of composition operators on Riemann surfaces, and it is proved that the composition operator $C_{\rho }$ is...

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