Fabrizio Colombo

Politecnico di Milano — Italy

Mathematics · Physical Sciences

44h-index6.6kcitations447works1.72yr avg
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Research Topics

Algebraic and Geometric Analysis(264), Holomorphic and Operator Theory(144), Mathematical Analysis and Transform Methods(140), Advanced Topics in Algebra(84), Matrix Theory and Algorithms(45)

Publications447 total

Aharonov-Bohm effect and superoscillations
Journal of Mathematical Physics·2025· 1 citedOpen Access
Analyticity, superoscillations and supershifts in several variables
Collectanea mathematica·2025· 4 citedOpen Access
New Taylor and Laurent series of axially harmonic, Fueter regular and polyanalytic functions
arXiv (Cornell University)·2025Open Access
The $H^\infty$-functional calculus for right slice hyperholomorphic functions and right linear Clifford operators
arXiv (Cornell University)·2025Open Access
Supershift properties for nonanalytic signals
Nanophotonics·2025· 2 citedOpen Access
Analyticity and supershift with regular sampling
Complex Analysis and its Synergies·2025· 8 citedOpen Access
The $S$-resolvent estimates for the Dirac operator on hyperbolic and spherical spaces
arXiv (Cornell University)·2025Open Access
Superoscillations in the Hypercomplex Setting
Journal of Geometric Analysis·2025· 3 citedOpen Access
Duality theorems for polyanalytic functions
Forum Mathematicum·2025· 1 cited
Functions and operators of the polyharmonic and polyanalytic Clifford fine structures on the $S$-spectrum
arXiv (Cornell University)·2025Open Access
Slice Hyperholomorphic Functional Calculi and the Spectral Theorem on the S-Spectrum
Operator Theory·2025
An Introduction to the Fine Structures on the $$\mathbf {S}$$-spectrum
Trends in mathematics·2025
Schur Analysis in the Quaternionic Setting: The Fueter Regular and the Slice Regular Case
Operator Theory·2025· 1 cited
Integral Representation and Time Evolution of Superoscillations
Operator Theory·2025
The Corona Problem for Slice Hyperholomorphic Functions
arXiv (Cornell University)·2024Open Access
Interpolation between domains of powers of operators in quaternionic Banach spaces
Proceedings of the American Mathematical Society·2024· 4 cited
An introduction to the fine structures on the $S$-spectrum
arXiv (Cornell University)·2024Open Access
Spectral properties of the gradient operator with nonconstant coefficients
Analysis and Mathematical Physics·2024· 5 citedOpen Access
Superphenomena for arbitrary quantum observables
Physical review. A/Physical review, A·2024· 5 cited
Spectral properties of the gradient operator with nonconstant coefficients
arXiv (Cornell University)·2024Open Access
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Frequent Co-authors

Irene Sabadini(44), Daniele C. Struppa(23), Daniel Alpay(11), Yakir Aharonov(8), Jeff Tollaksen(8), Graziano Gentili(3), Jonathan Gantner(3), David P. Kimsey(3), José Óscar González-Cervantes(3), Frank Sommen(2), Takashi Aoki(2), F. Sommen(1), Michael Berry(1), Nikolay I. Zheludev(1), Edward T. F. Rogers(1), Fei Qin(1), Minghui Hong(1), Xiangang Luo(1), Roei Remez(1), Ady Arie(1)