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Mathematics

D-Index
46
Citations
7500
World Ranking
1378
National Ranking
37

Overview

Fabrizio Colombo is affiliated with the Polytechnic University of Milan in Italy. Their research spans a broad range of topics within mathematics and physics, with a particular focus on applied mathematics, mathematical physics, and quantum mechanics.

Their main fields of study include:

  • Mathematics
  • Physics and Astronomy

Within these fields, Colombo's work covers several subfields such as:

  • Applied Mathematics
  • Atomic and Molecular Physics, and Optics
  • Mathematical Physics
  • Statistical and Nonlinear Physics
  • Computational Theory and Mathematics

Their research involves various core topics including:

  • Algebraic and Geometric Analysis
  • Mathematical Analysis and Transform Methods
  • Holomorphic and Operator Theory
  • Advanced Topics in Algebra
  • Quantum Mechanics and Applications
  • Matrix Theory and Algorithms
  • Quantum Mechanics and Non-Hermitian Physics

Colombo has contributed to multiple academic publication venues, where their work appears frequently, such as:

  • arXiv (Cornell University)
  • Virtual Community of Pathological Anatomy (University of Castilla La Mancha)
  • Complex Analysis and Operator Theory
  • Analysis and Mathematical Physics
  • Journal of Geometric Analysis

Some recent papers authored by Fabrizio Colombo include:

  • Superoscillating Sequences and Supershifts for Families of Generalized Functions, 2022, Complex Analysis and Operator Theory
  • The Spectral Theorem for Normal Operators on a Clifford Module, 2021, Analysis and Mathematical Physics
  • Fractional Powers of Vector Operators with First Order Boundary Conditions, 2020, Journal of Geometry and Physics

Frequent collaborators in their research encompass:

  • Irene Sabadini
  • Daniel Alpay
  • Stefano Pinton
  • Daniele C. Struppa
  • Kamal Diki

Colombo has also published books with Springer International Publishing and Springer Nature. Notable titles include:

  • Quaternionic de Branges Spaces and Characteristic Operator Function, 2020
  • Quaternionic Hilbert Spaces and Slice Hyperholomorphic Functions, 2024

Best Publications

  • Noncommutative Functional Calculus

    Fabrizio Colombo;Irene Sabadini;Daniele C. Struppa

  • Noncommutative Functional Calculus: Theory and Applications of Slice Hyperholomorphic Functions

    Fabrizio Colombo;Irene Maria Sabadini;Daniele Carlo Struppa

  • Analysis of Dirac Systems and Computational Algebra

    Fabrizio Colombo;Irene Sabadini;Franciscus Sommen;Daniele Carlo Struppa

  • Slice monogenic functions

    Fabrizio Colombo;Irene Sabadini;Daniele C. Struppa

  • Roadmap on superoscillations

    Michael Berry;Nikolay Zheludev;Nikolay Zheludev;Yakir Aharonov;Fabrizio Colombo

  • Slice Hyperholomorphic Schur Analysis

    Daniel Alpay;Fabrizio Colombo;Irene Sabadini

  • Extension results for slice regular functions of a quaternionic variable

    Fabrizio Colombo;Graziano Gentili;Irene Sabadini;Daniele C. Struppa

  • Some mathematical properties of superoscillations

    Y Aharonov;F Colombo;I Sabadini;D C Struppa

  • Entire Slice Regular Functions

    Fabrizio Colombo;Irene Sabadini;Daniele C. Struppa

  • Spectral Theory on the S-Spectrum for Quaternionic Operators

    Fabrizio Colombo;Jonathan Gantner;David P. Kimsey

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

    Daniel Alpay;Fabrizio Colombo;David P. Kimsey

  • Reproducing Kernel Spaces and Applications

    Daniel Alpay;Fabrizio Colombo;Irene Sabadini

  • A new functional calculus for noncommuting operators

    Fabrizio Colombo;Irene Sabadini;Daniele C. Struppa

  • On Some Properties of the Quaternionic Functional Calculus

    Fabrizio Colombo;Irene Sabadini

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

    Fabrizio Colombo;Irene Sabadini;Franciscus Sommen

  • Quantum violation of the pigeonhole principle and the nature of quantum correlations

    Yakir Aharonov;Yakir Aharonov;Fabrizio Colombo;Sandu Popescu;Sandu Popescu;Irene Maria Sabadini

  • Schur Functions and Their Realizations in the Slice Hyperholomorphic Setting

    Daniel Alpay;Fabrizio Colombo;Irene Sabadini

  • Pontryagin-de Branges-Rovnyak spaces of slice hyperholomorphic functions

    Daniel Alpay;Fabrizio Colombo;Irene Sabadini

  • The Mathematics of Superoscillations

    Yakir Aharonov;Fabrizio Colombo;Irene Sabadini;Daniele C Struppa

  • Invariant resolutions for several Fueter operators

    Fabrizio Colombo;Vladimir Souček;Daniele C. Struppa

Frequent Co-Authors

Irene Sabadini
Irene Sabadini Polytechnic University of Milan
Daniele C. Struppa
Daniele C. Struppa Chapman University
Daniel Alpay
Daniel Alpay Chapman University
Yakir Aharonov
Yakir Aharonov Chapman University
Franciscus Sommen
Franciscus Sommen Ghent University
Sandu Popescu
Sandu Popescu University of Bristol
Massimo Puoti
Massimo Puoti University of Milano-Bicocca
Nikolay I. Zheludev
Nikolay I. Zheludev University of Southampton
Minghui Hong
Minghui Hong National University of Singapore
Cheng-Wei Qiu
Cheng-Wei Qiu National University of Singapore

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