Using tools from quantum harmonic analysis, we show that the domain of the Laplacian of
an operator is dense in the Toeplitz algebra over the Fock space F 2 (C n). As an …

We introduce the so-called horizontal Toeplitz operators acting on the Fock space and give
an explicit description of the C*-algebra generated by them. We show that any Toeplitz …

In this paper we show that the C*-algebra generated by radial Toeplitz operators with L_ ∞
L∞-symbols acting on the Fock space is isometrically isomorphic to the C*-algebra of …

We study the so-called radial operators, and in particular radial Toeplitz operators, acting on
the standard weighted Bergman space on the unit ball in C^ n C n. They turn out to be …

This paper considers bounded linear radial operators on the polyanalytic Fock spaces ℱ n F
_n and on the true-polyanalytic Fock spaces ℱ (n) F _ (n). The orthonormal basis of …

We consider the C*-algebra generated by Toeplitz operators acting on the Bergman space
over the upper half-plane whose symbols depend on the imaginary part of the argument …

We use results and techniques from Werner's``quantum harmonic analysis''to show that $ G
$-invariant Toeplitz operators are norm dense in $ G $-invariant Toeplitz algebras for all …

For three standard models of commutative algebras generated by Toeplitz operators in the
weighted analytic Bergman space on the unit disk, we find their representations as the …

Abstract The Fock space F (C n) is the space of holomorphic functions on C n that are
square-integrable with respect to the Gaussian measure on C n. This space plays an …

Extending recent results in [3] to the higher dimensional setting n⩾ 3 we provide a further
step in the structural analysis of a class of commutative Banach algebras generated by …