Sheldon Axler

3.5k citations
52 papers · 1.9k · 1 hit paper · h-index 19

Impact in

    • Holomorphic and Operator Theory
    • Algebraic and Geometric Analysis
    • Advanced Harmonic Analysis Research
    • Mathematical Analysis and Transform Methods
    • Meromorphic and Entire Functions
    • Advanced Topics in Algebra

Papers in

    • Holomorphic and Operator Theory 20
    • Algebraic and Geometric Analysis 14
    • Advanced Harmonic Analysis Research 4
    • Meromorphic and Entire Functions 4
    • Spectral Theory in Mathematical Physics 4
    • Advanced Banach Space Theory 4

Sheldon Axler

47 papers receiving 1.6k citations

Sheldon Axler's Hit Papers

Harmonic Function Theory 1992 · 523 citations
5230+11+22Years since publication100200300400500

Peers

Sheldon Axler
Comparison fields: 5 of 102
  • Applied Mathematics 1.3k
  • Algebra and Number Theory 277
  • Mathematical Physics 454
  • Geometry and Topology 412
  • Theoretical Computer Science 16
Replace Carlos A. Berenstein with:
Carlos A. Berenstein United States
Bent Fuglede Denmark
Peter Rosenthal Canada
Peter Duren United States
S. K. Berberian United States
Keith Ball United Kingdom
Reinhold Remmert Germany
Sergeĭ Konyagin Russia
Tamás Erdélyi United States
Louis Auslander United States
Sheldon Axler relative to Carlos A. Berenstein United States Carlos A. Berenstein's profile →
Citations per field
00.5×
Carlos A. Berenstein · 1×
Citations per year

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-authors

The 25 scholars most cited alongside Sheldon Axler, 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 Sheldon Axler Line = papers co-authored together Sheldon Axler links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 52 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Harmonic Function Theory
Hit paper breakdown →
1992523
2 2014155
3 1986136
4 1997129
5 1991118
6 1998115
7 197893
8 198258
9 199946
10 198235
11 199834
12 198632
13 197932
14 198526
15 198823
16 199520
17 201919
18 198819
19 197718
20 198417

About Sheldon Axler

Sheldon Axler is a scholar working on Applied Mathematics, Mathematical Physics, Geometry and Topology, Algebra and Number Theory and Computational Theory and Mathematics, having authored 52 papers that have together received 1.9k indexed citations. Recurring topics across this work include Holomorphic and Operator Theory (20 papers), Algebraic and Geometric Analysis (14 papers), Analytic and geometric function theory (7 papers), Advanced Topics in Algebra (7 papers), Advanced Harmonic Analysis Research (4 papers), Spectral Theory in Mathematical Physics (4 papers), Advanced Banach Space Theory (4 papers) and Meromorphic and Entire Functions (4 papers). The work is most often cited by research in Applied Mathematics (1.3k citations), Algebra and Number Theory (277 citations), Mathematical Physics (454 citations), Geometry and Topology (412 citations) and Theoretical Computer Science (16 citations). Sheldon Axler has collaborated with scholars based in United States, Croatia and Canada. Frequent 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. Their work appears in journals such as Transactions of the American Mathematical Society, Proceedings of the American Mathematical Society, Indiana University Mathematics Journal, The Michigan Mathematical Journal and Integral Equations and Operator Theory.

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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