Gerald B. Folland

14.3k total citations · 9 hit papers
42 papers, 7.8k citations indexed

About

Gerald B. Folland is a scholar working on Applied Mathematics, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Gerald B. Folland has authored 42 papers receiving a total of 7.8k indexed citations (citations by other indexed papers that have themselves been cited), including 23 papers in Applied Mathematics, 18 papers in Mathematical Physics and 7 papers in Computational Theory and Mathematics. Recurrent topics in Gerald B. Folland's work include Mathematical Analysis and Transform Methods (10 papers), Advanced Harmonic Analysis Research (9 papers) and Spectral Theory in Mathematical Physics (6 papers). Gerald B. Folland is often cited by papers focused on Mathematical Analysis and Transform Methods (10 papers), Advanced Harmonic Analysis Research (9 papers) and Spectral Theory in Mathematical Physics (6 papers). Gerald B. Folland collaborates with scholars based in United States and India. Gerald B. Folland's co-authors include Elias M. Stein, E. M. Stein, Alladi Sitaram, J. J. Kohn, Nicholas J. Higham, Steven G. Krantz, Marcin Bownik, Joseph K. T. Lee and Sundaram Thangavelu and has published in prestigious journals such as Communications on Pure and Applied Mathematics, Transactions of the American Mathematical Society and American Mathematical Monthly.

In The Last Decade

Gerald B. Folland

40 papers receiving 6.8k citations

Hit Papers

Real Analysis: Modern Techniques and Their Applications 1974 2026 1991 2008 1984 1989 1982 1989 1975 400 800 1.2k

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Gerald B. Folland United States 21 5.1k 3.3k 1.3k 1.2k 733 42 7.8k
Guido Weiss United States 30 8.8k 1.7× 4.8k 1.5× 1.1k 0.9× 719 0.6× 1.6k 2.1× 67 11.1k
G. A. Garreau United Kingdom 2 2.3k 0.4× 1.7k 0.5× 1.1k 0.9× 895 0.7× 321 0.4× 5 5.9k
Cédric Villani France 38 6.5k 1.3× 2.5k 0.8× 1.4k 1.1× 1.6k 1.3× 686 0.9× 82 11.6k
Gábor Szegő United States 22 3.0k 0.6× 1.6k 0.5× 2.1k 1.6× 1.3k 1.1× 306 0.4× 39 7.5k
Michel Talagrand France 39 1.8k 0.3× 2.8k 0.9× 1.2k 0.9× 996 0.8× 285 0.4× 237 7.4k
Israel Gohberg Israel 45 5.0k 1.0× 4.7k 1.4× 5.5k 4.3× 871 0.7× 209 0.3× 332 12.0k
Rajendra Bhatia India 26 2.9k 0.6× 974 0.3× 2.7k 2.1× 813 0.7× 207 0.3× 81 6.0k
Edward B. Saff United States 31 2.4k 0.5× 871 0.3× 817 0.6× 655 0.5× 257 0.4× 184 4.6k
Robert S. Strichartz United States 37 3.1k 0.6× 3.9k 1.2× 1.1k 0.8× 701 0.6× 301 0.4× 185 5.5k
Jean Bourgain United States 62 5.9k 1.1× 8.7k 2.7× 2.2k 1.7× 2.0k 1.7× 264 0.4× 339 14.0k

Countries citing papers authored by Gerald B. Folland

Since Specialization
Citations

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

Fields of papers citing papers by Gerald B. Folland

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Gerald B. Folland. 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 Gerald B. Folland. The network helps show where Gerald B. Folland may publish in the future.

Co-authorship network of co-authors of Gerald B. Folland

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

All Works

20 of 20 papers shown
1.
Folland, Gerald B. & E. M. Stein. (2020). Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28. Princeton University Press eBooks. 1 indexed citations
2.
Folland, Gerald B.. (2013). Quantum field theory a tourist guide for mathematicians. 20 indexed citations
3.
Folland, Gerald B.. (2010). A Tale of Topology. American Mathematical Monthly. 117(8). 663–672. 2 indexed citations
4.
Folland, Gerald B.. (2008). Quantum Field Theory. Mathematical surveys and monographs. 23 indexed citations
5.
Bownik, Marcin & Gerald B. Folland. (2007). Duals of Hardy spaces on homogeneous groups. Mathematische Nachrichten. 280(11). 1223–1229. 3 indexed citations
6.
Folland, Gerald B.. (2006). The abstruse meets the applicable: Some aspects of time-frequency analysis. Proceedings of the Indian Academy of Sciences - Section A. 116(2). 121–136. 6 indexed citations
7.
Folland, Gerald B.. (2004). Compact Heisenberg manifolds as CR manifolds. Journal of Geometric Analysis. 14(3). 521–532. 13 indexed citations
8.
Folland, Gerald B., Nicholas J. Higham, & Steven G. Krantz. (1998). Handbook of Writing for the Mathematical Sciences.. American Mathematical Monthly. 105(8). 779–779. 8 indexed citations
9.
Folland, Gerald B.. (1989). Harmonic Analysis in Phase Space. (AM-122). Princeton University Press eBooks. 695 indexed citations breakdown →
10.
Folland, Gerald B.. (1989). Harmonic analysis of the de Rham complex on the sphere.. Journal für die reine und angewandte Mathematik (Crelles Journal). 1989(398). 130–143. 12 indexed citations
11.
Folland, Gerald B.. (1989). Harmonic analysis in phase space. Medical Entomology and Zoology. 1099 indexed citations breakdown →
12.
Folland, Gerald B.. (1985). Book Review: Differential forms orthogonal to holomorphic functions or forms, and their properties. Bulletin of the American Mathematical Society. 12(1). 156–159. 17 indexed citations
13.
Folland, Gerald B., Joseph K. T. Lee, & Sundaram Thangavelu. (1983). Lectures on partial equations. 1 indexed citations
14.
Folland, Gerald B.. (1980). Spectral analysis of a singular nonself-adjoint boundary value problem. Journal of Differential Equations. 37(2). 206–224. 5 indexed citations
15.
Folland, Gerald B.. (1976). Introduction to Partial Differential Equations. Second Edition. 63 indexed citations
16.
Folland, Gerald B.. (1976). Introduction to Partial Differential Equations. Princeton University Press eBooks. 463 indexed citations breakdown →
17.
Folland, Gerald B. & E. M. Stein. (1974). Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group. Communications on Pure and Applied Mathematics. 27(4). 429–522. 576 indexed citations breakdown →
18.
Folland, Gerald B.. (1973). A fundamental solution for a subelliptic operator. Bulletin of the American Mathematical Society. 79(2). 373–376. 188 indexed citations
19.
Folland, Gerald B.. (1972). The tangential Cauchy-Riemann complex on spheres. Transactions of the American Mathematical Society. 171(0). 83–133. 33 indexed citations
20.
Folland, Gerald B.. (1970). Weyl manifolds. Journal of Differential Geometry. 4(2). 54 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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