Polyanalytic Toeplitz Operators: Isomorphisms, Symbolic Calculus and Approximation of Weyl Operators

On the Weyl law for Toeplitz operators

A Weyl law for Toeplitz operators was proved by Boutet de Monvel and Guillemin ([BG], Theorem 13.1), using the theory of Fourier-Hermite distributions and their symbolic calculus based on symplectic spinors. The result holds in the setting of so-called Toeplitz structures, a generalization of strictly pseudoconvex domains, and the operators involved act on certain spaces of half-forms. The circ...

Toeplitz Operators and Localization Operators

We show that for any localization operator on the Fock space with polynomial window, there exists a constant coefficient linear partial differential operator D such that the localization operator with symbol f coincides with the Toeplitz operator with symbol Df . An analogous result also holds in the context of Bergman spaces on bounded symmetric domains. This verifies a recent conjecture of Co...

some properties of fuzzy hilbert spaces and norm of operators

in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...

Toeplitz Operators

This article discusses Paul Halmos’s crucial work on Toeplitz operators and the consequences of that work. Mathematics Subject Classification (2000). 47B35.

φ-factorable operators and Weyl-Heisenberg frames on LCA groups