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Information on didactic, research and institutional assignments on this page are certified by the University; more information, prepared by the professor, are available on the personal web page and in the curriculum vitae indicated on this webpage.
Information on professor
ProfessorColombo Fabrizio
QualificationFull professor full time
Belonging DepartmentDipartimento di Matematica
Scientific-Disciplinary SectorMAT/05 - Mathematical Analysis
Curriculum VitaeDownload CV (256.06Kb - 11/01/2022)
OrcIDhttps://orcid.org/0000-0002-7066-8378

Contacts
Professor's office hours
DepartmentFloorOfficeDayTimetableTelephoneFaxNotes
matematica ----WednesdayFrom 12:15
To 14:15
4613--Analisi matematica A nell' aula di lezione B22
matematica ----FridayFrom 13:15
To 15:15
4613--Elementi di Analisi matematica A e Geometria nell' aula di lezione L03
E-mailfabrizio.colombo@polimi.it
Professor's personal website--

Data source: RE.PUBLIC@POLIMI - Research Publications at Politecnico di Milano

List of publications and reserach products for the year 2022 (Show all details | Hide all details)
Type Title of the Publicaiton/Product
Journal Articles
Beurling-Lax type theorems and Cuntz relations (Show >>)
The Poisson kernel and the Fourier transform of the slice monogenic Cauchy kernels (Show >>)
The spectral theorem for normal operators on a Clifford module (Show >>)


List of publications and reserach products for the year 2021 (Show all details | Hide all details)
Type Title of the Publicaiton/Product
Journal Articles
A new method to generate superoscillating functions and supershifts (Show >>)
An Introduction to Hyperholomorphic Spectral Theories and Fractional Powers of Vector Operators (Show >>)
Gauss sums, superoscillations and the Talbot carpet (Show >>)
Green's function for the Schrödinger equation with a generalized point interaction and stability of superoscillations (Show >>)
Holomorphic functions, relativistic sum, Blaschke products and superoscillations (Show >>)
Infinite-order Differential Operators Acting on Entire Hyperholomorphic Functions (Show >>)
On a Polyanalytic Approach to Noncommutative de Branges–Rovnyak Spaces and Schur Analysis (Show >>)
Slice monogenic functions of a Clifford variable via the S-functional calculus (Show >>)
Superoscillations and Analytic Extension in Schur Analysis (Show >>)
The Noncommutative Fractional Fourier Law in Bounded and Unbounded Domains (Show >>)


List of publications and reserach products for the year 2020 (Show all details | Hide all details)
Type Title of the Publicaiton/Product
Scientific Books
Michele Sce's Works in Hypercomplex Analysis (Show >>)
Journal Articles
Aharonov–Berry superoscillations in the radial harmonic oscillator potential (Show >>)
Evolution of Superoscillations in the Dirac Field (Show >>)
Evolution of Superoscillations in the Klein-Gordon Field (Show >>)
Fractional powers of vector operators with first order boundary conditions (Show >>)
How superoscillating tunneling waves can overcome the step potential (Show >>)
On pseudo-spectral factorization over the complex numbers and quaternions (Show >>)
Realizations of holomorphic and slice hyperholomorphic functions: The Krein space case (Show >>)
Schrödinger evolution of superoscillations with δ - and δ′ -potentials (Show >>)
Symmetries of slice monogenic functions (Show >>)


List of publications and reserach products for the year 2019 (Show all details | Hide all details)
Type Title of the Publicaiton/Product
Conference proceedings
A panorama on superoscillations (Show >>)
Scientific Books
Quaternionic closed operators, fractional powers and fractional diffusion processes (Show >>)
Journal Articles
Evolution by Schrödinger equation of Aharonov-Berry superoscillations in centrifugal potential (Show >>)
Evolution of Aharonov-Berry superoscillations in Dirac delta potential (Show >>)
Fractional powers of the noncommutative Fourier's law by the S-spectrum approach (Show >>)
Herglotz functions: The Fueter variables case (Show >>)
Perturbation of normal quaternionic operators (Show >>)
Positive and Generalized Positive Real Lemma for Slice Hyperholomorphic Functions (Show >>)
Roadmap on superoscillations (Show >>)
Superoscillating Sequences Towards Approximation in S or S′ -Type Spaces and Extrapolation (Show >>)
Superoscillating sequences and hyperfunctions (Show >>)
The Cauchy transform in the slice hyperholomorphic setting and related topics (Show >>)
The Fock Space as a De Branges–Rovnyak Space (Show >>)
The structure of the fractional powers of the noncommutative Fourier law (Show >>)


List of publications and reserach products for the year 2018 (Show all details | Hide all details)
Type Title of the Publicaiton/Product
Scientific Books
Spectral theory on the s-spectrum for quaternionic operators (Show >>)
Journal Articles
An Application of the S-Functional Calculus to Fractional Diffusion Processes (Show >>)
Continuity of some operators arising in the theory of superoscillations (Show >>)
Continuity theorems for a class of convolution operators and applications to superoscillations (Show >>)
Fractional powers of quaternionic operators and Kato’s formula using slice hyperholomorphicity (Show >>)
Fractional powers of vector operators and fractional Fourier's law in a Hilbert space (Show >>)
Herglotz functions of several quaternionic variables (Show >>)
Schrodinger evolution of superoscillations under different potentials (Show >>)
manifesti v. 3.4.22 / 3.4.22
Area Servizi ICT
22/05/2022