Andreas Defant

Applied Mathematics · 2001–2019

A researcher in the Science corpus: 16 papers; trusts 10 researchers and is trusted by 33 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 50 citations into it; #1,107 of 7,620 by trust here, #492 by citations
• Mathematical Physics — 36 citations into it; #674 of 8,562 by trust here, #356 by citations
• Geometry and Topology — 19 citations into it; #6,678 of 7,422 by trust here, #3,228 by citations
• Statistics and Probability — 13 citations into it; #5,069 of 12,932 by trust here, #5,661 by citations
• Algebra and Number Theory — 7 citations into it; #1,863 of 2,864 by trust here, #1,070 by citations

Whom Andreas Defant trusts overall

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

1. Manuel Maestre
2. Harold P. Boas
3. Domingo García
4. Fr'ed'eric Bayart
5. Sergei V. Konyagin
6. David Pérez-García
7. H. Queffélec
8. Leonhard Frerick
9. L. Aĭzenberg
10. R. Aron

Who trusts Andreas Defant overall

1. Fr'ed'eric Bayart
2. Verónica Dimant
3. P. Sevilla-Peris
4. N. Christopher Phillips
5. Daniel Pellegrino
6. Leonhard Frerick
7. Rosihan M. Ali
8. Manuel Maestre
9. Antonio Falcó
10. Dmitry V. Savostyanov

Papers from Andreas Defant's perspective

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

1. Domains of convergence for monomial expansions of holomorphic functions in infinitely many variables
2. Multilinear extensions of Grothendieck’s theorem
3. Hardy Spaces of Dirichlet Series and Their Composition Operators
4. The Thresholding Greedy Algorithm, Greedy Bases, and Duality
5. The Bohr inequality for ordinary Dirichlet series
6. Multiple summing operators on Banach spaces
7. Ultrastability of ideals of homogeneous polynomials and multilinear mappings on Banach spaces
8. Unconditional Basis and Gordon–Lewis Constants for Spaces of Polynomials
9. Greedy Algorithm for General Biorthogonal Systems
10. On the Best Constants in the Khintchine Inequality

Their papers

• A new multilinear insight on Littlewood's 4/3-inequality (2009) — 100 citations
• Coordinatewise multiple summing operators in Banach spaces (2010) — 148 citations
• Dirichlet Series and Holomorphic Functions in High Dimensions (2019) — 117 citations
• Multipliers of Dirichlet series and monomial series expansions of holomorphic functions in infinitely many variables (2014) — 58 citations
• The Bohnenblust Hille cycle of ideas from a modern point of view (2014) — 62 citations
• Bohr radii of vector valued holomorphic functions (2012) — 100 citations
• The Bohr radius of the unit ball of (2011) — 59 citations
• Tensor Norms and Operator Ideals (2011) — 722 citations
• Domains of convergence for monomial expansions of holomorphic functions in infinitely many variables (2009) — 73 citations
• The Bohnenblust-Hille inequality for homogeneous polynomials is hypercontractive (2009) — 221 citations
• Bohr’s strip for vector valued Dirichlet series (2008) — 106 citations
• THE ARITHMETIC BOHR RADIUS (2007) — 54 citations
• A logarithmic lower bound for multi-dimensional bohr radii (2006) — 78 citations
• Unconditionality in spaces of m-homogeneous polynomials (2005) — 46 citations
• Bohrs power series theorem and local Banach space theory (2003) — 113 citations
• Unconditional Basis and Gordon–Lewis Constants for Spaces of Polynomials (2001) — 78 citations