William Beckner

3.4k total citations · 2 hit papers
32 papers, 1.9k citations indexed

About

William Beckner is a scholar working on Applied Mathematics, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, William Beckner has authored 32 papers receiving a total of 1.9k indexed citations (citations by other indexed papers that have themselves been cited), including 18 papers in Applied Mathematics, 10 papers in Mathematical Physics and 5 papers in Computational Theory and Mathematics. Recurrent topics in William Beckner's work include Advanced Harmonic Analysis Research (8 papers), Nonlinear Partial Differential Equations (8 papers) and Mathematical Analysis and Transform Methods (7 papers). William Beckner is often cited by papers focused on Advanced Harmonic Analysis Research (8 papers), Nonlinear Partial Differential Equations (8 papers) and Mathematical Analysis and Transform Methods (7 papers). William Beckner collaborates with scholars based in United States, Israel and United Kingdom. William Beckner's co-authors include Antoni Zygmund, Michael M. Pearson, Amitai Regev, Fernando Soria, Anthony Carbery and Stephen Semmes and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Annals of Mathematics and Advances in Mathematics.

In The Last Decade

William Beckner

32 papers receiving 1.7k citations

Hit Papers

align trajectories

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.

Inequalities in Fourier Analysis

1975 682 citations William Beckner profile →
Sharp Sobolev Inequalities on the Sphere and the Moser--Trudinger Inequality

1993 383 citations William Beckner profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
William Beckner United States	17	1.3k	722	458	283	234	32	1.9k
Daniel Alpay Israel	22	1.8k 1.4×	776 1.1×	584 1.3×	130 0.5×	215 0.9×	270	2.4k
Mihai Putinar United States	24	1.4k 1.1×	928 1.3×	878 1.9×	110 0.4×	113 0.5×	129	2.6k
Albrecht Böttcher Germany	24	1.7k 1.3×	1.3k 1.8×	1.2k 2.7×	350 1.2×	281 1.2×	145	3.1k
Leonard Gross United States	22	1.3k 1.0×	1.4k 1.9×	551 1.2×	209 0.7×	296 1.3×	51	2.5k
R. Wong Hong Kong	19	957 0.7×	258 0.4×	298 0.7×	372 1.3×	232 1.0×	120	1.6k
Gerhard Schmeißer Germany	20	1.2k 0.9×	281 0.4×	427 0.9×	133 0.5×	116 0.5×	82	2.1k
Tom H. Koornwinder Netherlands	27	1.6k 1.2×	844 1.2×	318 0.7×	426 1.5×	668 2.9×	99	2.7k
P. Túrán Hungary	21	1.2k 0.9×	470 0.7×	543 1.2×	262 0.9×	233 1.0×	77	2.7k
Charles F. Dunkl United States	23	2.0k 1.5×	1.5k 2.1×	308 0.7×	554 2.0×	596 2.5×	113	3.4k
Seymour Goldberg United States	17	1.1k 0.8×	1.1k 1.5×	807 1.8×	134 0.5×	244 1.0×	43	2.3k

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-authorship network of co-authors of William Beckner

This figure shows the co-authorship network connecting the top 25 collaborators of William Beckner. A scholar is included among the top collaborators of William Beckner 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 William Beckner. William Beckner is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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

20 of 20 papers shown

1.

Beckner, William. (2014). Functionals for multilinear fractional embedding. Acta Mathematica Sinica English Series. 31(1). 1–28. 19 indexed citations

2.

Beckner, William. (2013). Multilinear embedding – convolution estimates on smooth submanifolds. Proceedings of the American Mathematical Society. 142(4). 1217–1228. 5 indexed citations

3.

Beckner, William. (2007). Pitt's inequality with sharp error estimates. arXiv (Cornell University). 2 indexed citations

4.

Beckner, William. (2007). Pitt’s inequality with sharp convolution estimates. Proceedings of the American Mathematical Society. 136(5). 1871–1885. 61 indexed citations

5.

Beckner, William. (2003). Harmonic analysis at Mount Holyoke : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Harmonic Analysis, June 25-July 5, 2001, Mount Holyoke College, South Hadley, MA. American Mathematical Society eBooks. 2 indexed citations

6.

Beckner, William, et al.. (2003). Harmonic Analysis at Mount Holyoke. Contemporary mathematics - American Mathematical Society. 17 indexed citations

7.

Beckner, William. (2000). On the Grushin operator and hyperbolic symmetry. Proceedings of the American Mathematical Society. 129(4). 1233–1246. 62 indexed citations

8.

Beckner, William. (1999). Geometric asymptotics and the logarithmic Sobolev inequality. Forum Mathematicum. 11(1). 105–135. 1 indexed citations

9.

Beckner, William. (1999). Geometric asymptotics and the logarithmic Sobolev inequality. Forum Mathematicum. 11(1). 105–137. 52 indexed citations

10.

Beckner, William & Amitai Regev. (1998). Asymptotic Estimates Using Probability. Advances in Mathematics. 138(1). 1–14. 6 indexed citations

11.

Beckner, William & Michael M. Pearson. (1998). On Sharp Sobolev Embedding and The Logarithmic Sobolev Inequality. Bulletin of the London Mathematical Society. 30(1). 80–84. 34 indexed citations

12.

Beckner, William. (1997). Logarithmic Sobolev inequalities and the existence of singular integrals. Forum Mathematicum. 9(9). 13 indexed citations

13.

Beckner, William & Amitai Regev. (1996). Coefficients in some Young Derived Sequences. European Journal of Combinatorics. 17(8). 689–697. 1 indexed citations

14.

Beckner, William. (1995). Pitt’s inequality and the uncertainty principle. Proceedings of the American Mathematical Society. 123(6). 1897–1905. 92 indexed citations

15.

Beckner, William. (1991). . International Mathematics Research Notices. 1991(7). 83–83. 6 indexed citations

16.

Beckner, William. (1989). A Generalized Poincare Inequality for Gaussian Measures. Proceedings of the American Mathematical Society. 105(2). 397–397. 19 indexed citations

17.

Beckner, William, Anthony Carbery, Stephen Semmes, & Fernando Soria. (1989). A note on Restriction of the Fourier Transform to Spheres. Bulletin of the London Mathematical Society. 21(4). 394–398. 16 indexed citations

18.

Beckner, William. (1989). A generalized Poincaré inequality for Gaussian measures. Proceedings of the American Mathematical Society. 105(2). 397–400. 76 indexed citations

19.

Beckner, William & Amitai Regev. (1987). Asymptotics and algebraicity of some generating functions. Advances in Mathematics. 65(1). 1–15. 6 indexed citations

20.

Zygmund, Antoni & William Beckner. (1983). Conference on Harmonic Analysis in honor of Antoni Zygmund. Medical Entomology and Zoology. 76 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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