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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 (106.1Kb - 14/08/2020)
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 2020 (Show all details | Hide all details)
Type Title of the Publicaiton/Product
Journal Articles
Evolution of Superoscillations in the Dirac Field (Show >>)
Fractional powers of vector operators with first order boundary conditions (Show >>)


List of publications and reserach products for the year 2019 (Show all details | Hide all details)
Type Title of the Publicaiton/Product
Scientific Books
Quaternionic closed operators, fractional powers and fractional diffusion processes (Show >>)
Journal Articles
A panorama on superoscillations (Show >>)
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 >>)
Schr\"odinger evolution of superoscillations under different potentials (Show >>)


List of publications and reserach products for the year 2017 (Show all details | Hide all details)
Type Title of the Publicaiton/Product
Contributions on scientific books
An introduction to fractional powers of quaternionic operators and new fractional diffusion processes (Show >>)
Journal Articles
A Cauchy kernel for the Hermitian submonogenic system (Show >>)
Adaptive orthonormal systems for matrix-valued functions (Show >>)
Berezin transform of slice functions (Show >>)
Evolution of superoscillations for Schrödinger equation in a uniform magnetic field (Show >>)
Evolution of superoscillatory initial data in several variables in uniform electric field (Show >>)
Finally making sense of the double-slit experiment (Show >>)
Functions of the infinitesimal generator of a strongly continuous quaternionic group (Show >>)
On a class of quaternionic positive definite functions and their derivatives (Show >>)
On the Bargmann-Radon transform in the monogenic setting (Show >>)
The mathematics of superoscillations (Show >>)


List of publications and reserach products for the year 2016 (Show all details | Hide all details)
Type Title of the Publicaiton/Product
Contributions on scientific books
A Panorama on Quaternionic Spectral Theory and Related Functional Calculi (Show >>)
An introduction to superoscillatory sequences (Show >>)
Scientific Books
Entire Slice Regular Functions (Show >>)
Slice Hyperholomorphic Schur Analysis (Show >>)
Journal Articles
Boolean convolution in the quaternionic setting (Show >>)
Formulations of the F-functional calculus and some consequences (Show >>)
Interpolation Problems for Certain Classes of Slice Hyperholomorphic Functions (Show >>)
Monogenic plane waves and the W-functional calculus (Show >>)
On power series expansions of the S-resolvent operator and the Taylor formula (Show >>)
On the Szego-Radon projection of monogenic functions (Show >>)
Quantum violation of the pigeonhole principle and the nature of quantum correlations (Show >>)
Quaternion-valued positive definite functions on locally compact Abelian groups and nuclear spaces (Show >>)
Schatten class and Berezin transform of quaternionic linear operators (Show >>)
Superoscillating Sequences in Several Variables (Show >>)
The H∞ functional calculus based on the S-spectrum for quaternionic operators and for n-tuples of noncommuting operators (Show >>)
The Spectral Theorem for Unitary Operators Based on the S-Spectrum (Show >>)
The spectral theorem for quaternionic unbounded normal operators based on the S-spectrum (Show >>)
Wiener Algebra for the Quaternions (Show >>)
manifesti v. 3.4.3 / 3.4.3
Area Servizi ICT
29/10/2020