Frederick Greenleaf

2.4k total citations
50 papers, 1.5k citations indexed

About

Frederick Greenleaf is a scholar working on Mathematical Physics, Geometry and Topology and Applied Mathematics. According to data from OpenAlex, Frederick Greenleaf has authored 50 papers receiving a total of 1.5k indexed citations (citations by other indexed papers that have themselves been cited), including 38 papers in Mathematical Physics, 16 papers in Geometry and Topology and 15 papers in Applied Mathematics. Recurrent topics in Frederick Greenleaf's work include Advanced Algebra and Geometry (26 papers), Advanced Topics in Algebra (14 papers) and Finite Group Theory Research (11 papers). Frederick Greenleaf is often cited by papers focused on Advanced Algebra and Geometry (26 papers), Advanced Topics in Algebra (14 papers) and Finite Group Theory Research (11 papers). Frederick Greenleaf collaborates with scholars based in United States, Netherlands and France. Frederick Greenleaf's co-authors include Lawrence Corwin, Martin Moskowitz, Jacob J. Feldman, Linda Preiss Rothschild and Richard Penney and has published in prestigious journals such as Communications on Pure and Applied Mathematics, Transactions of the American Mathematical Society and Advances in Mathematics.

In The Last Decade

Frederick Greenleaf

43 papers receiving 966 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Frederick Greenleaf United States 17 1.1k 602 488 463 152 50 1.5k
M. S. Raghunathan India 19 1.3k 1.2× 1.2k 2.1× 322 0.7× 334 0.7× 344 2.3× 43 1.7k
Garth Warner United States 11 856 0.8× 481 0.8× 349 0.7× 367 0.8× 139 0.9× 23 1.1k
J. M. G. Fell United States 17 1.1k 1.0× 526 0.9× 263 0.5× 717 1.5× 87 0.6× 27 1.4k
Joseph Lehner United States 14 822 0.8× 652 1.1× 245 0.5× 481 1.0× 219 1.4× 48 1.3k
Roger Godement France 11 748 0.7× 583 1.0× 209 0.4× 413 0.9× 168 1.1× 28 1.1k
Lawrence Corwin United States 16 729 0.7× 543 0.9× 310 0.6× 418 0.9× 144 0.9× 61 1.1k
G. A. Margulis United States 27 1.4k 1.3× 1.1k 1.8× 405 0.8× 277 0.6× 264 1.7× 62 1.9k
Hugo Rossi United States 16 770 0.7× 1.0k 1.7× 996 2.0× 360 0.8× 45 0.3× 37 1.9k
Pierre de la Harpe Switzerland 20 1.4k 1.3× 1.1k 1.8× 310 0.6× 726 1.6× 307 2.0× 72 1.8k
Leo Zippin United States 8 818 0.8× 776 1.3× 277 0.6× 288 0.6× 116 0.8× 12 1.3k

Countries citing papers authored by Frederick Greenleaf

Since Specialization
Citations

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

Fields of papers citing papers by Frederick Greenleaf

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Frederick Greenleaf

This figure shows the co-authorship network connecting the top 25 collaborators of Frederick Greenleaf. A scholar is included among the top collaborators of Frederick Greenleaf 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 Frederick Greenleaf. Frederick Greenleaf 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.
Greenleaf, Frederick, et al.. (2019). Linear Algebra I. 1 indexed citations
2.
Greenleaf, Frederick & Martin Moskowitz. (2009). Finiteness results for lattices in certain Lie groups. Arkiv för matematik. 48(2). 311–321.
3.
Corwin, Lawrence & Frederick Greenleaf. (1992). Spectral decomposition of invariant differential operators on certain nilpotent homogeneous spaces. Journal of Functional Analysis. 108(2). 374–426. 5 indexed citations
4.
Corwin, Lawrence & Frederick Greenleaf. (1992). Commutativity of invariant differential operators on nilpotent homogeneous spaces with finite multiplicity. Communications on Pure and Applied Mathematics. 45(6). 681–748. 17 indexed citations
5.
Corwin, Lawrence & Frederick Greenleaf. (1990). Basic theory and examples. Cambridge University Press eBooks. 16 indexed citations
6.
Corwin, Lawrence & Frederick Greenleaf. (1989). Representations of nilpotent Lie groups and their applications. Cambridge University Press eBooks. 160 indexed citations
7.
Greenleaf, Frederick, et al.. (1988). Complex Algebraic Geometry and Calculation of Multiplicities for Induced Representations of Nilpotent Lie Groups. Transactions of the American Mathematical Society. 305(2). 601–601. 2 indexed citations
8.
Corwin, Lawrence & Frederick Greenleaf. (1988). Complex algebraic geometry and calculation of multiplicities for induced representations of nilpotent Lie groups. Transactions of the American Mathematical Society. 305(2). 601–601. 11 indexed citations
9.
Corwin, Lawrence, et al.. (1987). Direct integral decompositions and multiplicities for induced representations of nilpotent Lie groups. Transactions of the American Mathematical Society. 304(2). 549–583. 30 indexed citations
10.
Greenleaf, Frederick, et al.. (1987). Direct Integral Decompositions and Multiplicities for Induced Representations of Nilpotent Lie Groups. Transactions of the American Mathematical Society. 304(2). 549–549. 14 indexed citations
11.
Greenleaf, Frederick, et al.. (1984). Proceedings of the Conference on Banach Algebras and Several Complex Variables. Contemporary mathematics - American Mathematical Society. 5 indexed citations
12.
Corwin, Lawrence & Frederick Greenleaf. (1983). Solvability of certain left invariant differential operators by nilmanifold theory. Communications on Pure and Applied Mathematics. 36(6). 755–765. 4 indexed citations
13.
Corwin, Lawrence & Frederick Greenleaf. (1980). Fourier transforms of smooth functions on certain nilpotent Lie groups. Journal of Functional Analysis. 37(2). 203–217. 11 indexed citations
14.
Corwin, Lawrence & Frederick Greenleaf. (1976). Character formulas and spectra of compact nilmanifolds. Journal of Functional Analysis. 21(2). 123–154. 26 indexed citations
15.
Corwin, Lawrence & Frederick Greenleaf. (1976). Integral formulas with distribution kernels for irreducible projections in L2 of a nilmanifold. Journal of Functional Analysis. 23(3). 255–284. 8 indexed citations
16.
Greenleaf, Frederick, Martin Moskowitz, & Linda Preiss Rothschild. (1974). Central idempotent measures on connected locally compact groups. Journal of Functional Analysis. 15(1). 22–32. 4 indexed citations
17.
Greenleaf, Frederick, et al.. (1974). Group structure and the pointwise ergodic theorem for connected amenable groups. Advances in Mathematics. 14(2). 153–172. 19 indexed citations
18.
Greenleaf, Frederick. (1973). Invariant means on topological groups. Translation of 1969 monograph into Russian: Biblioteka sbornika xi "matematiko". 10 indexed citations
19.
Greenleaf, Frederick & Martin Moskowitz. (1971). Cyclic vectors for representations of locally compact groups. Mathematische Annalen. 190(4). 265–288. 14 indexed citations
20.
Greenleaf, Frederick. (1969). Amenable actions of locally compact groups. Journal of Functional Analysis. 4(2). 295–315. 69 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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