D. L. Burkholder

3.4k total citations
35 papers, 1.8k citations indexed

About

D. L. Burkholder is a scholar working on Applied Mathematics, Mathematical Physics and Numerical Analysis. According to data from OpenAlex, D. L. Burkholder has authored 35 papers receiving a total of 1.8k indexed citations (citations by other indexed papers that have themselves been cited), including 15 papers in Applied Mathematics, 10 papers in Mathematical Physics and 6 papers in Numerical Analysis. Recurrent topics in D. L. Burkholder's work include Advanced Harmonic Analysis Research (10 papers), Stochastic processes and financial applications (6 papers) and Mathematical Approximation and Integration (6 papers). D. L. Burkholder is often cited by papers focused on Advanced Harmonic Analysis Research (10 papers), Stochastic processes and financial applications (6 papers) and Mathematical Approximation and Integration (6 papers). D. L. Burkholder collaborates with scholars based in United States, Netherlands and Germany. D. L. Burkholder's co-authors include Richard F. Gundy, Martin L. Silverstein, Y. S. Chow, Robert A. Wijsman, William G. Madow, Burgess Davis, Ingram Olkin, S. G. Ghurye, Wassily Hoeffding and Henry B. Mann and has published in prestigious journals such as Journal of the American Statistical Association, Transactions of the American Mathematical Society and Advances in Mathematics.

In The Last Decade

D. L. Burkholder

31 papers receiving 1.3k citations

Peers

D. L. Burkholder

AM

MP

FINAN

SP

CTM

Stanisław Kwapień Poland

R. K. Getoor United States

Christer Borell Sweden

Louis Sucheston United States

Stephen Wainger United States

J. J. Uhl United States

J. Kuelbs United States

Paul Ressel Germany

J. Hoffmann-Jørgensen Denmark

Heinz Bauer Germany

Stanisław Kwapień Poland

D. L. Burkholder

592 ×0.5

AM

656 ×0.7

MP

292 ×0.8

FINAN

247 ×0.7

SP

142 ×0.7

CTM

Citations per year, relative to D. L. Burkholder D. L. Burkholder (= 1×) peers Stanisław Kwapień

Countries citing papers authored by D. L. Burkholder

Since Specialization

Citations

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

Fields of papers citing papers by D. L. Burkholder

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by D. L. Burkholder. 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 D. L. Burkholder. The network helps show where D. L. Burkholder may publish in the future.

Co-authorship network of co-authors of D. L. Burkholder

This figure shows the co-authorship network connecting the top 25 collaborators of D. L. Burkholder. A scholar is included among the top collaborators of D. L. Burkholder 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 D. L. Burkholder. D. L. Burkholder 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.

Burkholder, D. L.. (1994). Stopping Times and Directed Processes, Encyclopedia of Mathematics and its Applications; Volume 47 - G. A. Edgar; L. Sucheston.. Metrika. 41. 381–382. 2 indexed citations

2.

Burkholder, D. L.. (1987). A Sharp and Strict $L^p$-Inequality for Stochastic Integrals. The Annals of Probability. 15(1). 20 indexed citations

3.

Burkholder, D. L.. (1985). An Elementary Proof of an Inequality of R. E. A. C. Paley. Bulletin of the London Mathematical Society. 17(5). 474–478. 11 indexed citations

4.

Burkholder, D. L.. (1984). Boundary Value Problems and Sharp Inequalities for Martingale Transforms. The Annals of Probability. 12(3). 172 indexed citations

5.

Burkholder, D. L.. (1979). A Sharp Inequality for Martingale Transforms. The Annals of Probability. 7(5). 20 indexed citations

6.

Burkholder, D. L.. (1977). Exit times of Brownian motion, harmonic majorization, and Hardy spaces. Advances in Mathematics. 26(2). 182–205. 86 indexed citations

7.

Burkholder, D. L.. (1975). One-sided maximal functions and Hp. Journal of Functional Analysis. 18(4). 429–454. 12 indexed citations

8.

Burkholder, D. L., D. J. Daley, Harry Kesten, et al.. (1973). Discussion on Professor Kingman's Paper. The Annals of Probability. 1(6). 4 indexed citations

9.

Burkholder, D. L. & Richard F. Gundy. (1973). Boundary behaviour of harmonic functions in a half-space and brownian motion. Annales de l’institut Fourier. 23(4). 195–212. 6 indexed citations

10.

Burkholder, D. L., et al.. (1971). A Maximal Function Characterization of the Class H p. Transactions of the American Mathematical Society. 157. 137–137. 60 indexed citations

11.

Burkholder, D. L.. (1968). Independent Sequences with the Stein Property. The Annals of Mathematical Statistics. 39(4). 1282–1288. 21 indexed citations

12.

Burkholder, D. L. & Robert A. Wijsman. (1963). Optimum Properties and Admissibility of Sequential Tests. The Annals of Mathematical Statistics. 34(1). 1–17. 25 indexed citations

13.

Burkholder, D. L.. (1962). Semi-Gaussian subspaces. Transactions of the American Mathematical Society. 104(1). 123–131. 13 indexed citations

14.

Burkholder, D. L.. (1962). Semi-Gaussian Subspaces. Transactions of the American Mathematical Society. 104(1). 123–123. 9 indexed citations

15.

Burkholder, D. L., Ingram Olkin, S. G. Ghurye, et al.. (1962). Contributions to Probability and Statistics: Essays in Honor of Harold Hotelling.. Journal of the American Statistical Association. 57(297). 205–205. 13 indexed citations

16.

Burkholder, D. L. & Y. S. Chow. (1961). Iterates of conditional expectation operators. Proceedings of the American Mathematical Society. 12(3). 490–495. 28 indexed citations

17.

Burkholder, D. L.. (1961). Sufficiency in the Undominated Case. The Annals of Mathematical Statistics. 32(4). 1191–1200. 25 indexed citations

18.

Burkholder, D. L., et al.. (1961). Iterates of Conditional Expectation Operators. Proceedings of the American Mathematical Society. 12(3). 490–490. 13 indexed citations

19.

Burkholder, D. L.. (1960). Effect on the Minimal Complete Class of Tests of Changes in the Testing Problem. The Annals of Mathematical Statistics. 31(2). 325–331. 1 indexed citations

20.

Burkholder, D. L.. (1956). On a Class of Stochastic Approximation Processes. The Annals of Mathematical Statistics. 27(4). 1044–1059. 27 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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