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Mathematics

D-Index
46
Citations
7340
World Ranking
1383
National Ranking
39

Overview

Irene Sabadini is affiliated with the Polytechnic University of Milan in Italy. Their research primarily falls within the broad field of Mathematics, with a particular focus on Applied Mathematics. The scientist's work spans several subfields including Atomic and Molecular Physics, and Optics, Mathematical Physics, Algebra and Number Theory, as well as Geometry and Topology.

The main topics covered in Sabadini's published work include Algebraic and Geometric Analysis, Mathematical Analysis and Transform Methods, Holomorphic and Operator Theory, Advanced Topics in Algebra, Mathematics and Applications, Matrix Theory and Algorithms, and Quantum Mechanics and Applications.

Sabadini has collaborated frequently with several other researchers. Among their most notable coauthors are Fabrizio Colombo, Daniel Alpay, Daniele C. Struppa, Kamal Diki, and Stefano Pinton.

The scientist has published extensively in a variety of venues. Key publication platforms include arXiv (Cornell University), where they have 39 publications, the Virtual Community of Pathological Anatomy (University of Castilla La Mancha) with 10 publications, Complex Analysis and Operator Theory with 5, the Journal of Geometric Analysis with 4, and the Journal of Mathematical Physics with another 4 works.

Recent papers by Sabadini include the following:

  • Superoscillating Sequences and Supershifts for Families of Generalized Functions (2022), published in Complex Analysis and Operator Theory
  • Evolution of Superoscillations in the Klein-Gordon Field (2020), in Milan Journal of Mathematics
  • Slice Dirac operator over octonions (2020), Israel Journal of Mathematics
  • How superoscillating tunneling waves can overcome the step potential (2020), Annals of Physics
  • On the global operator and Fueter mapping theorem for slice polyanalytic functions (2021), Virtual Community of Pathological Anatomy (University of Castilla La Mancha)

Sabadini is also an author of several books published by leading academic publishers. Publications with Springer Nature include:

  • Quaternionic Hilbert Spaces and Slice Hyperholomorphic Functions (2024)
  • Current Trends in Analysis, its Applications and Computation (2022)
  • Analysis, Applications, and Computations (2023)

Additionally, they authored a book published by Springer International Publishing:

  • Quaternionic de Branges Spaces and Characteristic Operator Function (2020)

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

  • 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

  • Hermitian Clifford analysis and resolutions

    I Sabadini;Franciscus Sommen

  • 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

  • Regular functions of several quaternionic variables and the Cauchy-Fueter complex

    W. W. Adams;C. A. Berenstein;P. Loustaunau;I. 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

  • An extension theorem for slice monogenic functions and some of its consequences

    Fabrizio Colombo;Irene Sabadini;Daniele C. Struppa

Frequent Co-Authors

Daniele C. Struppa
Daniele C. Struppa Chapman University
Daniel Alpay
Daniel Alpay Chapman University
Franciscus Sommen
Franciscus Sommen Ghent University
Yakir Aharonov
Yakir Aharonov Chapman University
Sandu Popescu
Sandu Popescu University of Bristol
Nikolay I. Zheludev
Nikolay I. Zheludev University of Southampton
Carlos A. Berenstein
Carlos A. Berenstein University of Maryland, College Park
George V. Eleftheriades
George V. Eleftheriades University of Toronto
Minghui Hong
Minghui Hong National University of Singapore
Cheng-Wei Qiu
Cheng-Wei Qiu National University of Singapore

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