Spectrum and Analytic Functional Calculus for Clifford Operators via Stem Functions

The Riesz-Clifford Functional Calculus for Non-Commuting Operators and Quantum Field Theory

We present a Riesz-like hyperholomorphic functional calculus for a set of non-commuting operators based on the Clifford analysis. Applications to the quantum field theory are described. This work was partially supported by CONACYT Project 1821-E9211, Mexico. On leave from the Odessa State University.

The Fekete-Szego Coefficient Functional for Transforms of Analytic Functions

Composition operators acting on weighted Hilbert spaces of analytic functions

In this paper, we considered composition operators on weighted Hilbert spaces of analytic functions and  observed that a formula for the  essential norm, gives a Hilbert-Schmidt characterization and characterizes the membership in Schatten-class for these operators. Also, closed range composition operators  are investigated.

A new functional calculus for noncommuting operators

In this paper we use the notion of slice monogenic functions [2] to define a new functional calculus for an n-tuple T of not necessarily commuting operators. This calculus is different from the one discussed in [5] and it allows the explicit construction of the eigenvalue equation for the n-tuple T based on a new notion of spectrum for T . Our functional calculus is consistent with the Riesz-Du...

Functional Calculus for Non-Commuting Operators