This book presents a functional calculus for n-tuples of not necessarily commuting linear
operators. In particular, a functional calculus for quaternionic linear operators is developed …

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 …

Clifford algebras will be the setting in which we will work throughout this book. They were
introduced under the name of geometric algebras by Clifford in 1878. Since then, several …

Spectral theory on the S-spectrum was born out of the need to give quaternionic quantum
mechanics a precise mathematical foundation (Birkhoff and von Neumann [8] showed that a …

In this paper we prove a new Representation Formula for slice regular functions, which
shows that the value of a slice regular function f at a point q= x+ yI can be recovered by the …

This work inserts in the very fruitful study of quaternionic linear operators. This study is a
generalization of the complex case, but the noncommutative setting of quaternions shows …

The spectral theory on the S-spectrum was introduced to give an appropriate mathematical
setting to quaternionic quantum mechanics, but it was soon realized that there were different …

In this paper, using the recently discovered notion of the S-spectrum, we prove the spectral
theorem for a bounded or unbounded normal operator on a Clifford module (ie, a two-sided …

In this paper we show a version of the Fueter map** theorem that can be stated in integral
form based on the Cauchy formulas for slice monogenic (or slice regular) functions. More …