Richard Beals

6.9k total citations
114 papers, 4.3k citations indexed

About

Richard Beals is a scholar working on Mathematical Physics, Applied Mathematics and Statistical and Nonlinear Physics. According to data from OpenAlex, Richard Beals has authored 114 papers receiving a total of 4.3k indexed citations (citations by other indexed papers that have themselves been cited), including 53 papers in Mathematical Physics, 41 papers in Applied Mathematics and 37 papers in Statistical and Nonlinear Physics. Recurrent topics in Richard Beals's work include Nonlinear Waves and Solitons (31 papers), Advanced Mathematical Modeling in Engineering (23 papers) and Spectral Theory in Mathematical Physics (22 papers). Richard Beals is often cited by papers focused on Nonlinear Waves and Solitons (31 papers), Advanced Mathematical Modeling in Engineering (23 papers) and Spectral Theory in Mathematical Physics (22 papers). Richard Beals collaborates with scholars based in United States, Canada and France. Richard Beals's co-authors include Ronald R. Coifman, Jacek Szmigielski, D. H. Sattinger, Peter Greiner, Roderick Wong, Bernard Gaveau, Carlos Tomei, Percy Deift, David H. Krantz and Keti Tenenblat and has published in prestigious journals such as Proceedings of the National Academy of Sciences, The Astrophysical Journal and Psychological Review.

In The Last Decade

Richard Beals

108 papers receiving 3.7k citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Richard Beals United States	36	2.0k	2.0k	1.6k	779	569	114	4.3k
Ya. G. Sinaǐ Russia	32	3.0k 1.5×	4.0k 2.0×	1.1k 0.7×	828 1.1×	823 1.4×	121	7.2k
Robert S. Strichartz United States	37	881 0.4×	3.9k 2.0×	3.1k 1.9×	701 0.9×	1.1k 1.9×	185	5.5k
D. H. Sattinger United States	28	1.6k 0.8×	1.5k 0.8×	1.5k 0.9×	621 0.8×	1.0k 1.8×	74	4.7k
Einar Hille United States	17	595 0.3×	1.2k 0.6×	1.6k 1.0×	751 1.0×	801 1.4×	55	3.6k
Boris Dubrovin Italy	30	2.9k 1.4×	1.4k 0.7×	473 0.3×	1.9k 2.4×	302 0.5×	90	4.2k
Jürgen Moser Switzerland	32	2.3k 1.2×	2.3k 1.2×	3.0k 1.8×	2.0k 2.5×	1.5k 2.7×	51	7.0k
Harold Widom United States	34	519 0.3×	2.3k 1.2×	1.4k 0.9×	545 0.7×	673 1.2×	124	4.6k
Shlomo Sternberg United States	26	1.3k 0.6×	1.7k 0.9×	691 0.4×	1.6k 2.1×	299 0.5×	70	3.9k
Michael Shub United States	26	1.4k 0.7×	2.0k 1.0×	437 0.3×	1.4k 1.8×	1.0k 1.8×	78	3.7k
Н. И. Ахиезер United States	7	556 0.3×	953 0.5×	860 0.5×	247 0.3×	622 1.1×	12	2.4k

Countries citing papers authored by Richard Beals

Since Specialization

Citations

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

Fields of papers citing papers by Richard Beals

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Richard Beals

This figure shows the co-authorship network connecting the top 25 collaborators of Richard Beals. A scholar is included among the top collaborators of Richard Beals 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 Richard Beals. Richard Beals 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

Beals, Richard & Roderick Wong. (2023). More Explorations in Complex Functions. Graduate texts in mathematics. 1 indexed citations

Beals, Richard. (2004). Analysis an introduction. 66 indexed citations

Beals, Richard, Bernard Gaveau, Peter Greiner, & Yakar Kannai. (2004). Transversally elliptic operators. Bulletin des Sciences Mathématiques. 128(7). 531–576. 6 indexed citations

Beals, Richard, Bernard Gaveau, & Peter Greiner. (2000). Hamilton–Jacobi theory and the heat kernel on Heisenberg groups. Journal de Mathématiques Pures et Appliquées. 79(7). 633–689. 119 indexed citations

Beals, Richard, Peter Greiner, & Bernard Gaveau. (1999). Green's Functions for Some Highly Degenerate Elliptic Operators. Journal of Functional Analysis. 165(2). 407–429. 22 indexed citations

Albertin, Uwe, et al.. (1998). Velocity resolution and salt boundary placement in subsalt imaging: Part 2. 1301–1304. 1 indexed citations

Beals, Richard, Percy Deift, & Carlos Tomei. (1988). Direct and Inverse Scattering on the Line. Mathematical surveys and monographs. 209 indexed citations

Beals, Richard & Nancy K. Stanton. (1987). The Heat Equation for the-Neumann Problem, I. Communications in Partial Differential Equations. 12(4). 67–112. 11 indexed citations

Beals, Richard & V. Protopopescu. (1987). Abstract time-dependent transport equations. Journal of Mathematical Analysis and Applications. 121(2). 370–405. 88 indexed citations

10.

Beals, Richard & Ronald R. Coifman. (1986). The D-bar approach to inverse scattering and nonlinear evolutions. Physica D Nonlinear Phenomena. 18(1-3). 242–249. 92 indexed citations

11.

Beals, Richard. (1985). Indefinite Sturm-Liouville problems and half-range completeness. Journal of Differential Equations. 56(3). 391–407. 80 indexed citations

12.

Beals, Richard & Ronald R. Coifman. (1981). Scattering, transformations spectrales et équations d'évolution non linéaire II. French digital mathematics library (Numdam). 1–8. 15 indexed citations

13.

Beals, Richard. (1977). Opérateurs invariants hypoelliptiques sur un groupe de Lie nilpotent. French digital mathematics library (Numdam). 1–8. 4 indexed citations

14.

Beals, Richard. (1977). On an equation of mixed type from electron scattering theory. Journal of Mathematical Analysis and Applications. 58(1). 32–45. 32 indexed citations

15.

Beals, Richard. (1972). Semigroups and abstract Gevrey spaces. Journal of Functional Analysis. 10(3). 300–308. 33 indexed citations

16.

Beals, Richard. (1971). On spectral theory and scattering for elliptic operators with singular potentials. Pacific Journal of Mathematics. 37(1). 7–20. 30 indexed citations

17.

Beals, Richard. (1970). Asymptotic behavior of the Green's function and spectral function of an elliptic operator. Journal of Functional Analysis. 5(3). 484–503. 29 indexed citations

18.

Beals, Richard. (1968). On eigenvalue distributions for elliptic operators without smooth coefficients. II. Bulletin of the American Mathematical Society. 74(5). 1022–1024. 7 indexed citations

19.

Beals, Richard. (1966). On eigenvalue distributions for elliptic operators without smooth coefficients. Bulletin of the American Mathematical Society. 72(4). 701–706. 8 indexed citations

20.

Beals, Richard. (1965). Non-Local Boundary Value Problems for Elliptic Operators. American Journal of Mathematics. 87(2). 315–315. 21 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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