Garth Warner

1.8k total citations · 1 hit paper
23 papers, 1.1k citations indexed

About

Garth Warner is a scholar working on Mathematical Physics, Applied Mathematics and Algebra and Number Theory. According to data from OpenAlex, Garth Warner has authored 23 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 15 papers in Mathematical Physics, 9 papers in Applied Mathematics and 4 papers in Algebra and Number Theory. Recurrent topics in Garth Warner's work include Advanced Algebra and Geometry (9 papers), advanced mathematical theories (5 papers) and Spectral Theory in Mathematical Physics (4 papers). Garth Warner is often cited by papers focused on Advanced Algebra and Geometry (9 papers), advanced mathematical theories (5 papers) and Spectral Theory in Mathematical Physics (4 papers). Garth Warner collaborates with scholars based in United States and Switzerland. Garth Warner's co-authors include Ramesh Gangolli and Paul Sally and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Transactions of the American Mathematical Society and Journal of Functional Analysis.

In The Last Decade

Garth Warner

17 papers receiving 785 citations

Hit Papers

Harmonic Analysis on Semi-Simple Lie Groups II 1972 2026 1990 2008 1972 100 200 300 400 500
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.

  1. Harmonic Analysis on Semi-Simple Lie Groups II
    1972 592 citations Garth Warner CERN Document Server (European Organization for Nuclear Research) profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Garth Warner United States 11 856 481 367 349 139 23 1.1k
S. J. Patterson Germany 17 856 1.0× 654 1.4× 354 1.0× 367 1.1× 163 1.2× 47 1.2k
Lawrence Corwin United States 16 729 0.9× 543 1.1× 418 1.1× 310 0.9× 144 1.0× 61 1.1k
Atle Selberg United States 5 517 0.6× 360 0.7× 395 1.1× 227 0.7× 122 0.9× 6 828
Ichirō Satake Japan 15 1.0k 1.2× 1.1k 2.2× 340 0.9× 381 1.1× 194 1.4× 36 1.4k
Frederick Greenleaf United States 17 1.1k 1.3× 602 1.3× 463 1.3× 488 1.4× 152 1.1× 50 1.5k
Hershel M. Farkas Israel 11 384 0.4× 611 1.3× 224 0.6× 317 0.9× 147 1.1× 38 1.0k
Roger Howe United States 10 648 0.8× 550 1.1× 345 0.9× 165 0.5× 176 1.3× 17 888
Nicole Berline France 11 888 1.0× 496 1.0× 382 1.0× 375 1.1× 82 0.6× 16 1.2k
J. M. G. Fell United States 17 1.1k 1.3× 526 1.1× 717 2.0× 263 0.8× 87 0.6× 27 1.4k
David Fried United States 14 728 0.9× 653 1.4× 111 0.3× 220 0.6× 52 0.4× 37 907

Countries citing papers authored by Garth Warner

Since Specialization
Citations

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

Fields of papers citing papers by Garth Warner

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Garth Warner

This figure shows the co-authorship network connecting the top 25 collaborators of Garth Warner. A scholar is included among the top collaborators of Garth Warner 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 Garth Warner. Garth Warner 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.
Warner, Garth, et al.. (1989). The Selberg trace formula. VII. Application of the truncation process to the continuous spectrum. Pacific Journal of Mathematics. 140(2). 263–352. 6 indexed citations
2.
Warner, Garth. (1988). Application of the Selberg trace formula to the Riemann-Roch theorem. Journal of Differential Geometry. 27(1). 2 indexed citations
3.
Warner, Garth, et al.. (1986). On the Dini calculus. Journal of Mathematical Analysis and Applications. 118(1). 255–262.
4.
Warner, Garth. (1985). Noninvariant integrals on semisimple groups of R-rank one. Journal of Functional Analysis. 64(1). 19–111. 2 indexed citations
5.
Warner, Garth, et al.. (1985). The Selberg Trace Formula VI: Implications of Estimability. American Journal of Mathematics. 107(6). 1369–1369.
6.
Warner, Garth, et al.. (1984). The Selberg Trace Formula. V: Questions of Trace Class. Transactions of the American Mathematical Society. 286(1). 351–351. 2 indexed citations
7.
Warner, Garth, et al.. (1984). The Selberg trace formula. V. Questions of trace class. Transactions of the American Mathematical Society. 286(1). 351–376. 1 indexed citations
8.
Warner, Garth, et al.. (1983). The Selberg trace formula. II. Partition, reduction, truncation. Pacific Journal of Mathematics. 106(2). 307–496. 16 indexed citations
9.
Warner, Garth, et al.. (1981). The Selberg trace formula. I: Γ-rank one lattices.. Journal für die reine und angewandte Mathematik (Crelles Journal). 1981(324). 1–113. 13 indexed citations
10.
Warner, Garth, et al.. (1981). The theory of Eisenstein systems. CERN Document Server (European Organization for Nuclear Research). 29 indexed citations
11.
Gangolli, Ramesh & Garth Warner. (1980). Zeta functions of Selberg’s type for some noncompact quotients of symmetric spaces of rank one. Nagoya Mathematical Journal. 78. 1–44. 47 indexed citations
12.
Warner, Garth, et al.. (1978). Multiplicities of the integrable discrete series: The case of a nonuniform lattice in an R-rank one semisimple group. Journal of Functional Analysis. 30(3). 287–310. 15 indexed citations
13.
Gangolli, Ramesh & Garth Warner. (1975). On Selberg's trace formula. Journal of the Mathematical Society of Japan. 27(2). 23 indexed citations
14.
Warner, Garth. (1973). Zeta functions on the real general linear group. Pacific Journal of Mathematics. 45(2). 681–691. 30 indexed citations
15.
Sally, Paul & Garth Warner. (1973). The fourier transform on semisimple lie groups of real rank one. Acta Mathematica. 131(0). 1–26. 17 indexed citations
16.
Sally, Paul & Garth Warner. (1972). Fourier inversion for semisimple Lie groups of real rank one. Bulletin of the American Mathematical Society. 78(2). 251–254. 1 indexed citations
17.
Warner, Garth. (1972). Harmonic Analysis on Semi-Simple Lie Groups II. CERN Document Server (European Organization for Nuclear Research). 592 indexed citations breakdown →
18.
Warner, Garth. (1970). On the Normalization of Haar Measures in the Representation Theory of Compact Semi-Simple Lie Groups. Indiana University Mathematics Journal. 20(6). 499–505. 1 indexed citations
19.
Warner, Garth. (1968). The generalized Weierstrass-type integral $\int f ( \zeta , \varphi )$. French digital mathematics library (Numdam). 22(2). 163–192. 10 indexed citations
20.
Warner, Garth. (1968). The Burkill-Cesari integral. Duke Mathematical Journal. 35(1). 15 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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