The theory of slice regular functions (originally Cullen-regular functions) was born at George
Mason University, in Virginia, where the first and third authors collaborated for a 2-month …

Functions analytic and contractive in the open unit disk (also known as Schur functions)
have applications to, and connections with, a host of domains, such as classical analysis …

Classical operator theory in Banach and Hilbert spaces has been stimulated by several
problems in mathematics and physics. Moreover, the theory of holomorphic functions plays a …

This book presents a new theory for evolution operators and a new method for defining
fractional powers of vector operators. This new approach allows to define new classes of …

This Briefs volume develops the theory of entire slice regular functions. It is the first self-
contained, monographic work on the subject, offering all the necessary background …

In this paper we prove the spectral theorem for quaternionic unbounded normal operators
using the notion of S-spectrum. The proof technique consists of first establishing a spectral …

In this paper we introduce and study some basic properties of the Fock space (also known
as Segal–Bargmann space) in the slice hyperholomorphic setting. We discuss both the case …

Complex analysis is very rich in approximation theory results. In this Preface we briefly list
some of them which are nowadays considered classical, with no pretense of completeness …

The S S-functional calculus is a functional calculus for (n+ 1)(n+ 1)-tuples of not necessarily
commuting operators that can be considered a higher-dimensional version of the classical …

The quaternionic spectral theorem has already been considered in the literature, see eg
[22],[32],[33], however, except for the finite dimensional case in which the notion of spectrum …