F. Sommen

Applied Mathematics · 2000–2012

A researcher in the Science corpus: 20 papers; trusts 12 researchers and is trusted by 17 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 31 citations into it; #908 of 7,620 by trust here, #699 by citations
• Algebra and Number Theory — 12 citations into it; #1,409 of 2,864 by trust here, #1,014 by citations
• Mathematical Physics — 5 citations into it; #2,845 of 8,562 by trust here, #1,725 by citations

Whom F. Sommen trusts overall

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

1. Fabrizio Colombo
2. Irene Sabadini
3. Tao Qian
4. Graziano Gentili
5. Klaus Gürlebeck
6. Daniele C. Struppa
7. Kit Ian Kou
8. Toshiyuki Kobayashi
9. Hendrik De Bie

Who trusts F. Sommen overall

1. Fabrizio Colombo
2. Irene Sabadini
3. Fred Brackx
4. J. Bureš
5. Graziano Gentili
6. Daniel Alpay
7. Hennie De Schepper
8. Daniele C. Struppa
9. Caterina Stoppato
10. Hendrik De Bie

Papers from F. Sommen's perspective

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

1. Analysis of Dirac Systems and Computational Algebra
2. The Cauchy formula with s-monogenic kernel and a functional calculus for noncommuting operators
3. A Structure Formula for Slice Monogenic Functions and Some of its Consequences
4. Slice monogenic functions
5. Generalizations of Fueter’s theorem
6. On a Generalization of Fueter’s Theorem
7. A Table of Integrals
8. Fourier Analysis on Starlike Lipschitz Surfaces
9. Extension results for slice regular functions of a quaternionic variable
10. The Paley–Wiener Theorem in Rn with the Clifford Analysis Setting☆☆☆

Their papers

• On a Generalization of Fueter’s Theorem (2000) — 60 citations
• Clifford Algebra and Spinor-Valued Functions: A Function Theory For The Dirac Operator (2012) — 256 citations
• The inverse Fueter mapping theorem (2011) — 48 citations
• The Class of Clifford-Fourier Transforms (2011) — 61 citations
• DISCRETE FUNCTION THEORY BASED ON SKEW WEYL RELATIONS (2010) — 49 citations
• The Fueter mapping theorem in integral form and the ℱ‐functional calculus (2010) — 83 citations
• On Cauchy and Martinelli-Bochner integral formulae in Hermitean Clifford analysis (2009) — 54 citations
• The Hermitian Clifford Analysis Toolbox (2008) — 112 citations
• Fundaments of Hermitean Clifford analysis part II: splitting of h -monogenic equations (2007) — 106 citations
• Fundaments of Hermitean Clifford Analysis Part I: Complex Structure (2007) — 122 citations
• Discrete Dirac Operators in Clifford Analysis (2007) — 54 citations
• Parabolic Dirac operators and the Navier–Stokes equations over time‐varying domains (2005) — 63 citations
• The Clifford-Fourier Transform (2005) — 61 citations
• Analysis of Dirac Systems and Computational Algebra (2004) — 311 citations
• Complexes of Dirac operators in Clifford algebras (2002) — 63 citations
• On conjugate harmonic functions in Euclidean space (2002) — 54 citations
• Generalizations of Fueter’s theorem (2002) — 61 citations
• Hermitian Clifford analysis and resolutions (2002) — 105 citations
• Models for irreducible representations ofSpin(m) (2001) — 63 citations
• Integral Theorems for Functions and Differential Forms in C(m) (2001) — 122 citations