A. Zygmund

7.6k total citations · 1 hit paper
26 papers, 2.1k citations indexed

About

A. Zygmund is a scholar working on Applied Mathematics, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, A. Zygmund has authored 26 papers receiving a total of 2.1k indexed citations (citations by other indexed papers that have themselves been cited), including 13 papers in Applied Mathematics, 7 papers in Mathematical Physics and 6 papers in Computational Theory and Mathematics. Recurrent topics in A. Zygmund's work include Differential Equations and Boundary Problems (7 papers), advanced mathematical theories (5 papers) and Advanced Mathematical Modeling in Engineering (4 papers). A. Zygmund is often cited by papers focused on Differential Equations and Boundary Problems (7 papers), advanced mathematical theories (5 papers) and Advanced Mathematical Modeling in Engineering (4 papers). A. Zygmund collaborates with scholars based in United States. A. Zygmund's co-authors include A. P. Calderón, R. Salem, Robert Fefferman, Gábor Szegő, Edward Stein, Alberto P. Calderón, E. M. Stein, Mary Jane Weiss and A. Calderón and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Mathematics of Computation and Journal of the Franklin Institute.

In The Last Decade

A. Zygmund

26 papers receiving 1.6k citations

Hit Papers

align trajectories sort by overperformance

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.

On the existence of certain singular integrals

1952 599 citations A. P. Calderón, A. Zygmund profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
A. Zygmund United States	16	1.6k	803	354	314	187	26	2.1k
A. P. Calderón United States	20	2.9k 1.8×	1.7k 2.2×	602 1.7×	342 1.1×	187 1.0×	34	3.4k
Hubert Berens Germany	15	833 0.5×	493 0.6×	332 0.9×	329 1.0×	113 0.6×	47	1.4k
Jaak Peetre Sweden	26	2.8k 1.8×	1.8k 2.2×	598 1.7×	298 0.9×	301 1.6×	104	3.3k
Harold S. Shapiro Sweden	18	709 0.5×	351 0.4×	243 0.7×	161 0.5×	227 1.2×	66	1.3k
Karl Zeller Germany	19	580 0.4×	330 0.4×	340 1.0×	356 1.1×	183 1.0×	90	1.8k
D. V. Widder United States	15	566 0.4×	355 0.4×	215 0.6×	191 0.6×	83 0.4×	43	1.4k
J. Dugundji United States	12	1.0k 0.6×	383 0.5×	487 1.4×	361 1.1×	683 3.7×	25	2.1k
Stephen Wainger United States	30	3.0k 1.9×	1.6k 2.0×	470 1.3×	325 1.0×	397 2.1×	83	3.6k
Jean‐Pierre Kahane France	17	826 0.5×	948 1.2×	244 0.7×	106 0.3×	336 1.8×	79	1.8k
F. F. Bonsall United Kingdom	18	1.6k 1.0×	1.6k 2.0×	899 2.5×	334 1.1×	554 3.0×	65	3.0k

Countries citing papers authored by A. Zygmund

Since Specialization

Citations

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

Fields of papers citing papers by A. Zygmund

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of A. Zygmund

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

All Works

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20 of 20 papers shown

1.

Zygmund, A. & Robert Fefferman. (2003). Trigonometric Series. Cambridge University Press eBooks. 105 indexed citations

2.

Calderón, A. P. & A. Zygmund. (1978). On singular integrals with variable kernels. Applicable Analysis. 7(3). 221–238. 74 indexed citations

3.

Zygmund, A.. (1974). On Fourier coefficients and transforms of functions of two variables. Studia Mathematica. 50(2). 189–201. 118 indexed citations

4.

Calderón, A. & A. Zygmund. (1973). Addendum to a paper "On singular integrals". Studia Mathematica. 46(3). 297–299. 3 indexed citations

5.

Zygmund, A.. (1969). On certain lemmas of Marcinkiewicz and Carleson. Journal of Approximation Theory. 2(3). 249–257. 11 indexed citations

6.

Zygmund, A.. (1967). A note on the differentiability of integrals. Colloquium Mathematicum. 16(1). 199–204. 13 indexed citations

7.

Weiss, Mary Jane & A. Zygmund. (1965). An example in the theory of singular integrals. Studia Mathematica. 26(1). 101–111. 10 indexed citations

8.

Stein, E. M. & A. Zygmund. (1965). On the Fractional Differentiability of Functions. Proceedings of the London Mathematical Society. s3-14A(1). 249–264. 12 indexed citations

9.

Stein, Edward & A. Zygmund. (1964). On the differentiability of functions. Studia Mathematica. 23(3). 247–283. 40 indexed citations

10.

Calderón, Alberto P. & A. Zygmund. (1962). On the differentiability of functions which are of bounded variation in Tonelli's sense. Revista de la Unión Matemática Argentina. 20. 102–121. 22 indexed citations

11.

Calderón, A. P. & A. Zygmund. (1960). A NOTE ON LOCAL PROPERTIES OF SOLUTIONS OF ELLIPTIC DIFFERENTIAL EQUATIONS. Proceedings of the National Academy of Sciences. 46(10). 1385–1389. 3 indexed citations

12.

Zygmund, A.. (1960). A Correction to on the Preservation of Classes of Functions. Indiana University Mathematics Journal. 9(4). 663–663. 7 indexed citations

13.

Zygmund, A.. (1959). On the Preservation of Classes of Functions. Indiana University Mathematics Journal. 8(6). 889–895. 18 indexed citations

14.

Calderón, A. P. & A. Zygmund. (1957). Singular Integral Operators and Differential Equations. American Journal of Mathematics. 79(4). 901–901. 137 indexed citations

15.

Calderón, A. P. & A. Zygmund. (1956). On Singular Integrals. American Journal of Mathematics. 78(2). 289–289. 261 indexed citations

16.

Calderón, A. P. & A. Zygmund. (1956). A Note on the Interpolation of Sublinear Operations. American Journal of Mathematics. 78(2). 282–282. 34 indexed citations

17.

Zygmund, A.. (1956). ON THE LITTLEWOOD-PALEY FUNCTION g ^* (θ). Proceedings of the National Academy of Sciences. 42(4). 208–212. 10 indexed citations

18.

Zygmund, A., et al.. (1955). On a problem of Mihlin. Transactions of the American Mathematical Society. 78(1). 209–224. 9 indexed citations

19.

Zygmund, A.. (1953). Book Review: Inequalities. Bulletin of the American Mathematical Society. 59(4). 411–413. 1 indexed citations

20.

Szegő, Gábor & A. Zygmund. (1953). On certain mean values of polynomials. Journal d Analyse Mathématique. 3(1). 225–244. 44 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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