William Beckner

3.9k citations
37 papers · 2.5k · 2 hit papers · h-index 20

Impact in

    • Nonlinear Partial Differential Equations
    • Advanced Harmonic Analysis Research
    • Mathematical Analysis and Transform Methods
    • Geometric Analysis and Curvature Flows
    • Numerical methods in inverse problems
    • Advanced Mathematical Physics Problems
    • Spectral Theory in Mathematical Physics

Papers in

    • Advanced Harmonic Analysis Research 8
    • Nonlinear Partial Differential Equations 8
    • Mathematical Analysis and Transform Methods 7
    • Geometric Analysis and Curvature Flows 4
    • Advanced Mathematical Physics Problems 6
    • Numerical methods in inverse problems 4
    • Spectral Theory in Mathematical Physics 3

William Beckner

37 papers receiving 2.2k citations

William Beckner's Hit Papers

Sharp Sobolev Inequalities on the Sphere and the Moser--Trudinger Inequality 1993 · 402 citations
4020+17+34Years since publication250500750

Peers

William Beckner
Comparison fields: 5 of 118
  • Applied Mathematics 1.4k
  • Mathematical Physics 802
  • Computational Theory and Mathematics 506
  • Geometry and Topology 226
  • Statistical and Nonlinear Physics 250
Replace Jeffrey S. Geronimo with:
Jeffrey S. Geronimo United States
Paolo Tilli Italy
H. J. Brascamp United States
Sergei M. Grudsky Mexico
Michel L. Lapidus United States
Saburou Saitoh Japan
Steven G. Krantz United States
James Rovnyak United States
Wilhelm Schlag United States
Yves Colin de Verdìère France
William Beckner relative to Jeffrey S. Geronimo United States Jeffrey S. Geronimo's profile →
Citations per field
00.5×2.7×
Jeffrey S. Geronimo · 1×
Citations per year

Countries citing papers authored by William Beckner

Since Specialization
Citations

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

Fields of papers citing papers by William Beckner

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authors

The 21 scholars most cited alongside William Beckner, 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 William Beckner Line = papers co-authored together William Beckner links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 37 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Inequalities in Fourier Analysis
Hit paper breakdown →
1975761
2
Sharp Sobolev Inequalities on the Sphere and the Moser--Trudinger Inequality
Hit paper breakdown →
1993402
3 2002267
4 199597
5
Conference on Harmonic Analysis in honor of Antoni Zygmund
198394
6 198983
7 199279
8 200064
9 200761
10 200258
11 199555
12 197554
13 199953
14 200840
15 199835
16 200630
17 199525
18 199724
19 198919
20 198919

About William Beckner

William Beckner is a scholar working on Applied Mathematics, Mathematical Physics, Computational Theory and Mathematics, Mechanics of Materials and Discrete Mathematics and Combinatorics, having authored 37 papers that have together received 2.5k indexed citations. Recurring topics across this work include Advanced Harmonic Analysis Research (8 papers), Nonlinear Partial Differential Equations (8 papers), Mathematical Analysis and Transform Methods (7 papers), Advanced Mathematical Physics Problems (6 papers), Numerical methods in inverse problems (4 papers), Advanced Mathematical Modeling in Engineering (4 papers), Geometric Analysis and Curvature Flows (4 papers) and Spectral Theory in Mathematical Physics (3 papers). The work is most often cited by research in Applied Mathematics (1.4k citations), Mathematical Physics (802 citations), Computational Theory and Mathematics (506 citations), Geometry and Topology (226 citations) and Statistical and Nonlinear Physics (250 citations). William Beckner has collaborated with scholars based in United States, Israel and United Kingdom. Frequent co-authors include Karen L. Soeken, Brian Berman, Marc C. Hochberg, John A. Astin, Antoni Zygmund, Michael M. Pearson, Wayne B. Jonas, Ian Coulter, Brian Berman and David Moher. Their work appears in journals such as Proceedings of the American Mathematical Society, Forum Mathematicum, Potential Analysis, Proceedings of the National Academy of Sciences and Advances in Mathematics.

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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