Anthony G. O’Farrell

793 citations

63 papers · 466 indexed · h-index 13

Applied Mathematics top 2%
- Algebraic and Geometric Analysis 7
- Holomorphic and Operator Theory 6
Mathematical Physics top 5%
- Advanced Banach Space Theory 8
- Mathematical Dynamics and Fractals 7
Geometry and Topology top 5%
- Advanced Differential Equations and Dynamical Systems 7
- Advanced Topology and Set Theory 6
Algebra and Number Theory top 10%
- Advanced Topics in Algebra 10
Numerical Analysis top 10%
Statistics and Probability
- Approximation Theory and Sequence Spaces 7

Co-authors: Donald E. Marshall John L. Garnett Ian Short Donal O’Regan Graham Allan Thomas Ransford Hugh Staunton David Lord
Cited by: Applied Mathematics Mathematical Physics Geometry and Topology
Partner nations: Ireland United States United Kingdom

In The Last Decade

Anthony G. O’Farrell

58 papers receiving 351 citations

Peers

Countries citing papers authored by Anthony G. O’Farrell

Since Specialization

Citations

This map shows the geographic impact of Anthony G. O’Farrell's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Anthony G. O’Farrell with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Anthony G. O’Farrell more than expected).

Fields of papers citing papers by Anthony G. O’Farrell

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Anthony G. O’Farrell. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Anthony G. O’Farrell. The network helps show where Anthony G. O’Farrell may publish in the future.

Co-authorship network

The 14 scholars most cited alongside Anthony G. O’Farrell, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Anthony G. O’Farrell Line = papers co-authored together Anthony G. O’Farrell links everyone, so they are left out of the graph.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

#	Work
1	Factoring formal maps into reversible or involutive factors Anthony G. O’Farrell,Dmitri Zaitsev	2013	1
2	Reversibility Questions in Groups arising in Analysis Anthony G. O’Farrell	2012	1
3	Flowability of plane homeomorphisms Frédéric Le Roux,Anthony G. O’Farrell,Maria Roginskaya,Ian Short	2012	2
4	DE PAEPE'S DISC HAS NONTRIVIAL POLYNOMIAL HULL Anthony G. O’Farrell,M. A. SANABRIA-GARCÍA	2002	2
5	Pervasive Algebras of Analytic Functions Ivan Netuka,Anthony G. O’Farrell,M. A. SANABRIA-GARCÍA	2000	0
6	Finitely-Generated Algebras of Smooth Functions, in One Dimension Graham Allan,Grayson Kakiko,Anthony G. O’Farrell,R. O. Watson	1998	4
7	FUNCTION SPACES AND POTENTIAL THEORY (Grundlehren der mathematischen Wissenschaften 314) Anthony G. O’Farrell	1997	56
8	Approximation and Extension in Normed Spaces of Infinitely Differentiable Functions J. F. Feinstein,H. Lande,Anthony G. O’Farrell	1996	5
9	Pointwise bounded approximation by polynomials Anthony G. O’Farrell,Fernando Pérez-González	1992	3
10	A Tauberian Theorem arising in Operator Theory Graham Allan,Anthony G. O’Farrell,Thomas Ransford	1987	16
11	Rational approximation and weak analyticity. I Anthony G. O’Farrell	1986	1
12	Approximation by polynomials in two diffeomorphisms Anthony G. O’Farrell,Kenneth John Preskenis	1984	13
13	Polynomial approximation on graphs Anthony G. O’Farrell,Kenneth John Preskenis,D. Walsh	1983	2
14	Hausdorff content and rational approximation in fractional Lipschitz norms Anthony G. O’Farrell	1977	18
15	Continuity Properties of Hausdorff Content Anthony G. O’Farrell	1976	2
16	Annihilators of rational modules Anthony G. O’Farrell	1975	26
17	Density of Parts of Algebras on the Plane Anthony G. O’Farrell	1974	3
18	Removable Sets for Classes of Functions Anthony G. O’Farrell	1973	2
19	Removable sets for classes of functions Anthony G. O’Farrell	1973	2
20	An Isolated Bounded Point Derivation Anthony G. O’Farrell	1973	5

About Anthony G. O’Farrell

Anthony G. O’Farrell is a scholar working on Geometry and Topology, Mathematical Physics and Applied Mathematics, having authored 63 papers that have together received 466 indexed citations. Recurring topics across this work include Advanced Topics in Algebra (10 papers), Advanced Banach Space Theory (8 papers), Algebraic and Geometric Analysis (7 papers), Advanced Differential Equations and Dynamical Systems (7 papers), Mathematical Dynamics and Fractals (7 papers), Approximation Theory and Sequence Spaces (7 papers), Advanced Topology and Set Theory (6 papers) and Holomorphic and Operator Theory (6 papers). The work is most often cited by research in Applied Mathematics (268 citations), Mathematical Physics (178 citations) and Geometry and Topology (171 citations). Anthony G. O’Farrell has collaborated with scholars based in Ireland, United States and United Kingdom. Frequent co-authors include Donald E. Marshall, John L. Garnett, Ian Short, Donal O’Regan, Graham Allan, Thomas Ransford, Hugh Staunton, David Lord, Patrick Ahern and D. Walsh.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

Explore authors with similar magnitude of impact