Patrick Ahern

1.7k total citations
69 papers, 1.1k citations indexed

About

Patrick Ahern is a scholar working on Applied Mathematics, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Patrick Ahern has authored 69 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 46 papers in Applied Mathematics, 23 papers in Geometry and Topology and 21 papers in Mathematical Physics. Recurrent topics in Patrick Ahern's work include Holomorphic and Operator Theory (18 papers), Algebraic and Geometric Analysis (14 papers) and Advanced Harmonic Analysis Research (12 papers). Patrick Ahern is often cited by papers focused on Holomorphic and Operator Theory (18 papers), Algebraic and Geometric Analysis (14 papers) and Advanced Harmonic Analysis Research (12 papers). Patrick Ahern collaborates with scholars based in United States, Spain and Japan. Patrick Ahern's co-authors include Douglas N. Clark, Walter Rudin, Željko Čučković, Joaquim Bruna, Donald Sarason, Robert Schneider, Miroljub Jevtić, William S. Cohn, Robert Schneider and Jean-Pierre Rosay and has published in prestigious journals such as Transactions of the American Mathematical Society, American Mathematical Monthly and Journal of Functional Analysis.

In The Last Decade

Patrick Ahern

61 papers receiving 819 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Patrick Ahern United States 22 918 367 343 193 117 69 1.1k
Horaçio Porta United States 15 534 0.6× 227 0.6× 438 1.3× 253 1.3× 179 1.5× 64 819
Andrzej Hulanicki Poland 15 416 0.5× 207 0.6× 527 1.5× 121 0.6× 108 0.9× 63 732
R. Michael Range United States 15 740 0.8× 415 1.1× 254 0.7× 74 0.4× 101 0.9× 47 929
信 一松 2 395 0.4× 290 0.8× 245 0.7× 99 0.5× 95 0.8× 3 652
Bernard Russo United States 17 425 0.5× 200 0.5× 742 2.2× 552 2.9× 129 1.1× 56 956
Washek F. Pfeffer United States 13 272 0.3× 242 0.7× 312 0.9× 91 0.5× 144 1.2× 74 587
Arlen Brown United States 13 656 0.7× 123 0.3× 442 1.3× 299 1.5× 225 1.9× 27 862
Bernard Aupetit Canada 14 579 0.6× 131 0.4× 664 1.9× 667 3.5× 209 1.8× 44 944
Theodore W. Palmer United States 13 296 0.3× 164 0.4× 649 1.9× 519 2.7× 187 1.6× 28 893
Thomas Bloom Canada 14 457 0.5× 355 1.0× 150 0.4× 66 0.3× 64 0.5× 57 602

Countries citing papers authored by Patrick Ahern

Since Specialization
Citations

This map shows the geographic impact of Patrick Ahern'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 Patrick Ahern with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Patrick Ahern more than expected).

Fields of papers citing papers by Patrick Ahern

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Patrick Ahern. 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 Patrick Ahern. The network helps show where Patrick Ahern may publish in the future.

Co-authorship network of co-authors of Patrick Ahern

This figure shows the co-authorship network connecting the top 25 collaborators of Patrick Ahern. A scholar is included among the top collaborators of Patrick Ahern based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Patrick Ahern. Patrick Ahern is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Ahern, Patrick. (2003). On the range of the Berezin transform. Journal of Functional Analysis. 215(1). 206–216. 32 indexed citations
2.
Ahern, Patrick & Željko Čučković. (2001). A Theorem of Brown–Halmos Type for Bergman Space Toeplitz Operators. Journal of Functional Analysis. 187(1). 200–210. 71 indexed citations
3.
Ahern, Patrick & Željko Čučković. (2001). Products of Toeplitz operators on the Bergman space. Illinois Journal of Mathematics. 45(1). 3 indexed citations
4.
Ahern, Patrick & Walter Rudin. (1996). Geometric Properties of the Gamma Function. American Mathematical Monthly. 103(8). 678–681. 5 indexed citations
5.
Ahern, Patrick, et al.. (1993). An Invariant Volume-Mean-Value Property. Journal of Functional Analysis. 111(2). 380–397. 61 indexed citations
6.
Ahern, Patrick, et al.. (1992). Exceptional sets for Poisson integrals of potentials on the unit sphere in Cn, p≤ 1. Pacific Journal of Mathematics. 153(1). 1–13. 17 indexed citations
7.
Ahern, Patrick & Walter Rudin. (1991). M-harmonic products. Indagationes Mathematicae. 2(2). 141–147. 10 indexed citations
8.
Ahern, Patrick & Alexander Nagel. (1986). Strong Lp estimates for maximal functions with respect to singular measures; with applications to exceptional sets. Duke Mathematical Journal. 53(2). 15 indexed citations
9.
Ahern, Patrick & Miroljub Jevtić. (1984). Mean modulus and the fractional derivative of an inner function. Complex Variables Theory and Application An International Journal. 3(4). 431–445. 6 indexed citations
10.
Ahern, Patrick. (1983). The Poisson Integral of a Singular Measure. Canadian Journal of Mathematics. 35(4). 735–749. 23 indexed citations
11.
Ahern, Patrick & William E. Cohn. (1983). A Geometric Characterization of N + Domains. Proceedings of the American Mathematical Society. 88(3). 454–454.
12.
Ahern, Patrick, et al.. (1980). The rational defect of a plane domain. Journal of Approximation Theory. 30(1). 37–40. 1 indexed citations
13.
Ahern, Patrick. (1979). . Indiana University Mathematics Journal. 28(2). 311–311. 25 indexed citations
14.
Ahern, Patrick & Robert Schneider. (1979). Holomorphic Lipschitz Functions in Pseudoconvex Domains. American Journal of Mathematics. 101(3). 543–543. 47 indexed citations
15.
Ahern, Patrick, et al.. (1976). On inner functions with $B^p$ derivative.. The Michigan Mathematical Journal. 23(2). 23 indexed citations
16.
Ahern, Patrick & Douglas N. Clark. (1971). Radial nth Derivatives of Blaschke Products.. MATHEMATICA SCANDINAVICA. 28. 189–189. 19 indexed citations
17.
Ahern, Patrick & Douglas N. Clark. (1970). On functions orthogonal to invariant subspaces. Acta Mathematica. 124(0). 191–204. 55 indexed citations
18.
Ahern, Patrick & Donald Sarason. (1967). The Hp spaces of a class of function algebras. Acta Mathematica. 117(0). 123–163. 40 indexed citations
19.
Ahern, Patrick. (1965). Elementary methods in the theory of primes. Transactions of the American Mathematical Society. 118. 221–221. 1 indexed citations
20.
Ahern, Patrick. (1964). The Asymptotic Distribution of Prime Ideals in Ideal Classes 1). Indagationes Mathematicae (Proceedings). 67. 10–14. 1 indexed citations

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.

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