The Fine Structure of the Spectral Theory on the S-Spectrum in Dimension Five

The $$\mathcal {F}$$-Resolvent Equation and Riesz Projectors for the $$\mathcal {F}$$-Functional Calculus

(2023) Fabrizio Colombo et al.   Complex Analysis and Operator Theory

Properties of a polyanalytic functional calculus on the S‐spectrum

(2023) Antonino De Martino et al.   MATHEMATISCHE NACHRICHTEN

The Poisson kernel and the Fourier transform of the slice monogenic Cauchy kernels

(2022) Fabrizio Colombo et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Axially Harmonic Functions and the Harmonic Functional Calculus on the S-spectrum

(2022) Fabrizio Colombo et al.   JOURNAL OF GEOMETRIC ANALYSIS

Universality property of the S-functional calculus, noncommuting matrix variables and Clifford operators

(2022) Fabrizio Colombo et al.   ADVANCES IN MATHEMATICS

Generalized Appell polynomials and Fueter–Bargmann transforms in the polyanalytic setting

(2022) ntonino De Martino et al.   Analysis and Applications

A polyanalytic functional calculus of order 2 on the 𝑆-spectrum

(2022) Antonino de Martino et al.   PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

The Noncommutative Fractional Fourier Law in Bounded and Unbounded Domains

(2021) Fabrizio Colombo et al.   Complex Analysis and Operator Theory

The spectral theorem for normal operators on a Clifford module

(2021) Fabrizio Colombo et al.   Analysis and Mathematical Physics

Fractional powers of vector operators with first order boundary conditions

(2020) Fabrizio Colombo et al.   JOURNAL OF GEOMETRY AND PHYSICS

On the Global Operator and Fueter Mapping Theorem for Slice Polyanalytic Functions

(2020) Daniel Alpay et al.   Analysis and Applications

Fractional powers of vector operators and fractional Fourier’s law in a Hilbert space

(2018) Fabrizio Colombo et al.   Journal of Physics A-Mathematical and Theoretical

The spectral theorem for quaternionic unbounded normal operators based on the S-spectrum

(2016) Daniel Alpay et al.   JOURNAL OF MATHEMATICAL PHYSICS

Formulations of the -functional calculus and some consequences

(2016) Fabrizio Colombo et al.   PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS

A New Resolvent Equation for the $$S$$ S -Functional Calculus

(2014) Daniel Alpay et al.   JOURNAL OF GEOMETRIC ANALYSIS

The -spectrum and the -functional calculus

(2012) Fabrizio Colombo et al.   PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS

Slice regular functions on real alternative algebras

(2010) R. Ghiloni et al.   ADVANCES IN MATHEMATICS

The Fueter mapping theorem in integral form and the ℱ-functional calculus

(2010) Fabrizio Colombo et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES