Fabrizio Colombo

Applied Mathematics · 2004–2020

A researcher in the Science corpus: 36 papers; trusts 19 researchers and is trusted by 24 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 72 citations into it; #336 of 7,620 by trust here, #92 by citations
• Geometry and Topology — 43 citations into it; #3,666 of 7,422 by trust here, #2,963 by citations
• Algebra and Number Theory — 39 citations into it; #186 of 2,864 by trust here, #68 by citations
• Computational Theory and Mathematics — 27 citations into it; #8,042 of 12,182 by trust here, #5,046 by citations
• Mathematical Physics — 16 citations into it; #3,639 of 8,562 by trust here, #2,038 by citations
• Statistical and Nonlinear Physics — 7 citations into it; #4,388 of 10,127 by trust here, #4,439 by citations

Whom Fabrizio Colombo trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Irene Sabadini
2. Graziano Gentili
3. Daniele C. Struppa
4. F. Sommen
5. Daniel Alpay
6. Tao Qian
7. Riccardo Ghiloni
8. Caterina Stoppato
9. Klaus Gürlebeck
10. A. Perotti

Who trusts Fabrizio Colombo overall

1. Irene Sabadini
2. Graziano Gentili
3. Daniele C. Struppa
4. Daniel Alpay
5. Riccardo Ghiloni
6. Caterina Stoppato
7. A. Perotti
8. J. González‐Cervantes
9. F. Sommen
10. M. E. Luna-Elizarrar'as

Papers from Fabrizio Colombo's perspective

Ordered by how strongly the researchers Fabrizio Colombo trusts endorse each paper. Same corpus, a different order for every researcher.

1. Analysis of Dirac Systems and Computational Algebra
2. A Cauchy kernel for slice regular functions
3. The Cauchy formula with s-monogenic kernel and a functional calculus for noncommuting operators
4. A Structure Formula for Slice Monogenic Functions and Some of its Consequences
5. Slice monogenic functions
6. Continuous slice functional calculus in quaternionic Hilbert spaces
7. Zeros of regular functions and polynomials of a quaternionic variable
8. Regular Moebius transformations of the space of quaternions
9. A new series expansion for slice regular functions
10. The open mapping theorem for regular quaternionic functions

Their papers

• Non Commutative Functional Calculus: Bounded Operators (2007) — 48 citations
• On the formulations of the quaternionic functional calculus (2010) — 71 citations
• Quaternionic de Branges Spaces and Characteristic Operator Function (2020) — 55 citations
• Roadmap on superoscillations (2019) — 178 citations
• Spectral Theory on the S-Spectrum for Quaternionic Operators (2019) — 157 citations
• Slice Hyperholomorphic Schur Analysis (2016) — 159 citations
• The $H^\infty$ functional calculus based on the $S$-spectrum for quaternionic operators and for $n$-tuples of noncommuting operators (2015) — 48 citations
• Entire slice regular functions (2015) — 140 citations
• The spectral theorem for quaternionic unbounded normal operators based on the S-spectrum (2014) — 123 citations
• The Spectral Theorem for Unitary Operators Based on the S-Spectrum (2014) — 52 citations
• Bicomplex holomorphic functional calculus (2014) — 47 citations
• The Fock Space in the Slice Hyperholomorphic Setting (2014) — 68 citations
• On the Cauchy problem for the Schrödinger equation with superoscillatory initial data (2013) — 69 citations
• A New Resolvent Equation for the $$S$$S-Functional Calculus (2013) — 52 citations
• The C-property for slice regular functions and applications to the Bergman space (2013) — 55 citations
• On Two Approaches to the Bergman Theory for Slice Regular Functions (2013) — 59 citations
• Pontryagin-de Branges-Rovnyak spaces of slice hyperholomorphic functions (2012) — 80 citations
• A nonconstant coefficients differential operator associated to slice monogenic functions (2012) — 76 citations
• The quaternionic evolution operator (2011) — 68 citations
• Noncommutative Functional Calculus: Theory and Applications of Slice Hyperholomorphic Functions (2011) — 303 citations