Sheldon Axler

3.5k total citations · 1 hit paper
52 papers, 1.9k citations indexed

About

Sheldon Axler is a scholar working on Applied Mathematics, Mathematical Physics and Geometry and Topology. According to data from OpenAlex, Sheldon Axler has authored 52 papers receiving a total of 1.9k indexed citations (citations by other indexed papers that have themselves been cited), including 28 papers in Applied Mathematics, 11 papers in Mathematical Physics and 10 papers in Geometry and Topology. Recurrent topics in Sheldon Axler's work include Holomorphic and Operator Theory (20 papers), Algebraic and Geometric Analysis (14 papers) and Advanced Topics in Algebra (7 papers). Sheldon Axler is often cited by papers focused on Holomorphic and Operator Theory (20 papers), Algebraic and Geometric Analysis (14 papers) and Advanced Topics in Algebra (7 papers). Sheldon Axler collaborates with scholars based in United States, Croatia and Canada. Sheldon Axler's co-authors include Paul Bourdon, Wade Ramey, Dechao Zheng, Željko Čučković, Pamela Gorkin, Allen Shields, Donald Sarason, Sun‐Yung A. Chang, John B. Conway and Nicholas P. Jewell and has published in prestigious journals such as Mathematics of Computation, Annals of Mathematics and Transactions of the American Mathematical Society.

In The Last Decade

Sheldon Axler

47 papers receiving 1.6k citations

Hit Papers

Harmonic Function Theory 1992 2026 2003 2014 1992 100 200 300 400 500
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Harmonic Function Theory
    1992 523 citations Sheldon Axler, Paul Bourdon et al. profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Sheldon Axler United States 19 1.3k 454 412 277 201 52 1.9k
Tamás Erdélyi United States 17 1.1k 0.8× 286 0.6× 453 1.1× 246 0.9× 313 1.6× 116 1.6k
Carlos A. Berenstein United States 27 1.1k 0.8× 557 1.2× 538 1.3× 224 0.8× 397 2.0× 128 2.0k
Keith Ball United Kingdom 22 953 0.7× 332 0.7× 382 0.9× 108 0.4× 284 1.4× 38 1.5k
Gerhard Schmeißer Germany 20 1.2k 0.9× 281 0.6× 427 1.0× 116 0.4× 427 2.1× 82 2.1k
Olav Njåstad Norway 21 1.3k 0.9× 301 0.7× 361 0.9× 254 0.9× 982 4.9× 110 2.3k
R. P. Boas United States 20 830 0.6× 382 0.8× 286 0.7× 257 0.9× 196 1.0× 121 1.6k
Marek Kuczma Poland 14 1.3k 0.9× 624 1.4× 504 1.2× 181 0.7× 350 1.7× 100 2.1k
Bent Fuglede Denmark 19 1.5k 1.1× 804 1.8× 728 1.8× 100 0.4× 434 2.2× 81 2.3k
Harold S. Shapiro Sweden 18 709 0.5× 351 0.8× 227 0.6× 66 0.2× 243 1.2× 66 1.3k
Daniel Alpay Israel 22 1.8k 1.3× 776 1.7× 205 0.5× 328 1.2× 584 2.9× 270 2.4k

Countries citing papers authored by Sheldon Axler

Since Specialization
Citations

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

Fields of papers citing papers by Sheldon Axler

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Sheldon Axler

This figure shows the co-authorship network connecting the top 25 collaborators of Sheldon Axler. A scholar is included among the top collaborators of Sheldon Axler 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 Sheldon Axler. Sheldon Axler 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.
Axler, Sheldon. (2023). Linear Algebra Done Right. Undergraduate texts in mathematics. 10 indexed citations
2.
Axler, Sheldon & Peter Shin. (2017). The Neumann problem on ellipsoids. Journal of Applied Mathematics and Computing. 57(1-2). 261–278. 1 indexed citations
3.
Axler, Sheldon, Peter Rosenthal, & Donald Sarason. (2010). A glimpse at Hilbert space operators : Paul R. Halmos in memoriam. Digital Access to Libraries (Université catholique de Louvain (UCL), l'Université de Namur (UNamur) and the Université Saint-Louis (USL-B)). 1 indexed citations
4.
Axler, Sheldon & Dechao Zheng. (2006). Toeplitz algebras on the disk. Journal of Functional Analysis. 243(1). 67–86. 1 indexed citations
5.
Axler, Sheldon, Pamela Gorkin, & Karl Voss. (2003). The Dirichlet problem on quadratic surfaces. Mathematics of Computation. 73(246). 637–651. 14 indexed citations
6.
Axler, Sheldon, et al.. (1999). Commutants of analytic Toeplitz operators on the Bergman space. Proceedings of the American Mathematical Society. 128(7). 1951–1953. 46 indexed citations
7.
Axler, Sheldon & Dechao Zheng. (1998). Compact operators via the Berezin transform. Indiana University Mathematics Journal. 47(2). 0–0. 115 indexed citations
8.
Axler, Sheldon & Dechao Zheng. (1998). The Berezin transform on the Toeplitz algebra. Studia Mathematica. 127(2). 113–136. 34 indexed citations
9.
Axler, Sheldon & Wade Ramey. (1995). Harmonic polynomials and Dirichlet-type problems. Proceedings of the American Mathematical Society. 123(12). 3765–3765. 16 indexed citations
10.
Axler, Sheldon & Wade Ramey. (1995). Harmonic Polynomials and Dirichlet-Type Problems. Proceedings of the American Mathematical Society. 123(12). 3765–3765. 4 indexed citations
11.
Axler, Sheldon. (1995). Down With Determinants!. American Mathematical Monthly. 102(2). 139–154. 20 indexed citations
12.
Axler, Sheldon, Paul Bourdon, & Wade Ramey. (1992). Bocher's Theorem. American Mathematical Monthly. 99(1). 51–51. 3 indexed citations
13.
Axler, Sheldon, et al.. (1992). Boundary behavior of derivatives of analytic functions.. The Michigan Mathematical Journal. 39(1). 9 indexed citations
14.
Axler, Sheldon & Pamela Gorkin. (1990). Sequences in the maximal ideal space of 𝐻^{∞}. Proceedings of the American Mathematical Society. 108(3). 731–740. 13 indexed citations
15.
Axler, Sheldon & Paul Bourdon. (1988). Finite Codimensional Invariant Subspaces of Bergman Spaces. Transactions of the American Mathematical Society. 306(2). 805–805. 16 indexed citations
16.
Karp, Richard M., et al.. (1987). Opinion. The Mathematical Intelligencer. 9(4). 52–63. 1 indexed citations
17.
Axler, Sheldon. (1986). Harmonic Functions from a Complex Analysis Viewpoint. American Mathematical Monthly. 93(4). 246–258. 32 indexed citations
18.
Axler, Sheldon & Pamela Gorkin. (1984). Divisibility in Douglas algebras.. The Michigan Mathematical Journal. 31(1). 17 indexed citations
19.
Axler, Sheldon, et al.. (1982). Toeplitz Operators on Bergman Spaces. Canadian Journal of Mathematics. 34(2). 466–483. 58 indexed citations
20.
Axler, Sheldon, Nicholas P. Jewell, & Allen Shields. (1980). The Essential Norm of an Operator and its Adjoint. Transactions of the American Mathematical Society. 261(1). 159–159. 2 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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