Irene Sabadini

Irene Maria Sabadini is an Italian mathematician specializing in complex analysis, hypercomplex analysis and the analysis of superoscillations. She is a professor of mathematics at the Polytechnic University of Milan.[1]

Education

Sabadini earned her PhD at the University of Milan in 1996. Her dissertation, Toward a Theory of Quaternionic Hyperfunctions, was supervised by Daniele C. Struppa.[2]

Books

Sabadini is the author of multiple books in mathematics including:

  • Analysis of Dirac systems and computational algebra (with Colombo, Sommen, and Struppa, Birkhäuser 2004)[3]
  • Noncommutative functional calculus: Theory and applications of slice hyperholomorphic functions (with Colombo and Struppa, Birkhäuser/Springer, 2011)[4]
  • Entire slice regular functions (with Colombo and Struppa, Springer, 2016)[5]
  • Slice hyperholomorphic Schur analysis (with Alpay and Colombo, Birkhäuser/Springer, 2016)[6]
  • The mathematics of superoscillations (with Aharonov, Colombo, Struppa, and Tollaksen, American Mathematical Society, 2017)[7]
  • Quaternionic approximation: With application to slice regular functions (with Gal, Birkhäuser/Springer, 2019)[8]
  • Quaternionic de Branges spaces and characteristic operator function (Springer, 2020)
  • Michele Sce's works in hypercomplex analysis: A translation with commentaries (with Colombo and Struppa, Birkhäuser/Springer, 2020)

She is also the editor or coeditor of multiple edited volumes.

References
  1. "Irene Sabadini", People, Polytechnic University of Milan, Department of Mathematics, retrieved 2021-06-23
  2. Irene Sabadini at the Mathematics Genealogy Project
  3. Review of Analysis of Dirac systems and computational algebra: Michael Shapiro, MR2089988, Zbl 1064.30049
  4. Review of Noncommutative functional calculus: Vladimir V. Kisil, Zbl 1228.47001
  5. Reviews of Entire slice regular functions: Alessandro Perotti, MR3585395; Michael Shapiro, Zbl 1372.30001
  6. Reviews of Slice hyperholomorphic Schur analysis: Michael Shapiro, MR3585855; Florian-Horia Vasilescu, Zbl 1366.30001
  7. Reviews of The mathematics of superoscillations: Raymond Johnson, Zbl 1383.42002; Gaetano Siciliano, MR3633292
  8. Reviews of Quaternionic approximation: Amedeo Altavilla, Zbl 1432.30034; M. Elena Luna-Elizarrarás, MR3930620
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