S. Bochner

6.5k total citations · 1 hit paper
38 papers, 1.2k citations indexed

About

S. Bochner is a scholar working on Mathematical Physics, Applied Mathematics and Computational Theory and Mathematics. According to data from OpenAlex, S. Bochner has authored 38 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 10 papers in Mathematical Physics, 10 papers in Applied Mathematics and 9 papers in Computational Theory and Mathematics. Recurrent topics in S. Bochner's work include advanced mathematical theories (5 papers), Advanced Mathematical Modeling in Engineering (4 papers) and Functional Equations Stability Results (3 papers). S. Bochner is often cited by papers focused on advanced mathematical theories (5 papers), Advanced Mathematical Modeling in Engineering (4 papers) and Functional Equations Stability Results (3 papers). S. Bochner collaborates with scholars based in United States. S. Bochner's co-authors include Richard A. Silverman, A. M. Yaglom, Franklin John, Stefan Bergman, Lipman Bers, Kentarô Yano, K. Chandrasekharan, W. T. Martin, Shin‐Ichi Izumi and Robert C. Gunning and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Annals of Mathematics and American Mathematical Monthly.

In The Last Decade

S. Bochner

31 papers receiving 991 citations

Hit Papers

An Introduction to the Theory of Stationary Random Functi... 1964 2026 1984 2005 1964 100 200 300
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. An Introduction to the Theory of Stationary Random Functions.
    1964 358 citations S. Bochner et al. profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
S. Bochner United States 14 644 266 223 185 176 38 1.2k
J. B. Díaz United States 17 1.0k 1.6× 121 0.5× 352 1.6× 421 2.3× 337 1.9× 65 1.9k
G.P. AKILOV United States 5 468 0.7× 203 0.8× 382 1.7× 109 0.6× 640 3.6× 7 1.8k
F. G. Friedlander United Kingdom 18 650 1.0× 188 0.7× 851 3.8× 84 0.5× 123 0.7× 32 1.8k
Mark A. Pinsky United States 24 477 0.7× 239 0.9× 536 2.4× 126 0.7× 101 0.6× 126 1.6k
Derek F. Lawden United Kingdom 12 219 0.3× 101 0.4× 130 0.6× 247 1.3× 75 0.4× 36 1.6k
М. К. Керимов Russia 17 401 0.6× 301 1.1× 268 1.2× 62 0.3× 384 2.2× 90 1.8k
Melvyn S. Berger United States 20 707 1.1× 128 0.5× 343 1.5× 185 1.0× 256 1.5× 66 1.4k
Salomon Bochner United States 8 491 0.8× 31 0.1× 377 1.7× 168 0.9× 58 0.3× 30 1.3k
Marvin Shinbrot Canada 21 882 1.4× 392 1.5× 575 2.6× 37 0.2× 142 0.8× 72 1.7k
W. A. Coppel Australia 19 571 0.9× 645 2.4× 430 1.9× 579 3.1× 519 2.9× 42 2.1k

Countries citing papers authored by S. Bochner

Since Specialization
Citations

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

Fields of papers citing papers by S. Bochner

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of S. Bochner

This figure shows the co-authorship network connecting the top 25 collaborators of S. Bochner. A scholar is included among the top collaborators of S. Bochner 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 S. Bochner. S. Bochner 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.
Bochner, S.. (1969). Selected mathematical papers of Salomon Bochner. Medical Entomology and Zoology. 1 indexed citations
2.
Bochner, S.. (1965). INTRINSIC ANALYTIC CONTINUATION AND ENVELOPES OF HOLOMORPHY. Proceedings of the National Academy of Sciences. 53(5). 904–907.
3.
Bochner, S.. (1964). CONTINUOUS MAPPINGS OF ALMOST AUTOMORPHIC AND ALMOST PERIODIC FUNCTIONS. Proceedings of the National Academy of Sciences. 52(4). 907–910. 166 indexed citations
4.
Bochner, S.. (1963). Potential-theoretic approach to analytic Bohr almost periodic functions in half-planes. Mathematische Annalen. 150(2). 150–155. 1 indexed citations
5.
Bochner, S.. (1962). SUBORDINATION OF NON-GAUSSIAN STOCHASTIC PROCESSES. Proceedings of the National Academy of Sciences. 48(1). 19–22. 13 indexed citations
6.
Bochner, S.. (1962). Entire functions in several variables with constant absolute values on a circular uniqueness set. Proceedings of the American Mathematical Society. 13(1). 117–117. 1 indexed citations
7.
Bochner, S.. (1960). ALMOST PERIODIC SOLUTIONS OF THE INHOMOGENEOUS WAVE EQUATION. Proceedings of the National Academy of Sciences. 46(9). 1233–1236. 4 indexed citations
8.
Bochner, S. & Shin‐Ichi Izumi. (1959). Strong Law of Large Numbers for Sequences of Almost Periodic Functions. Annals of Mathematics. 69(3). 718–718. 1 indexed citations
9.
Bochner, S.. (1958). On Riemann's Functional Equation with Multiple Gamma Factors. Annals of Mathematics. 67(1). 29–29. 21 indexed citations
10.
Bochner, S. & Robert C. Gunning. (1955). EXISTENCE OF FUNCTIONALLY INDEPENDENT AUTOMORPHIC FUNCTIONS. Proceedings of the National Academy of Sciences. 41(10). 746–752. 1 indexed citations
11.
Bochner, S.. (1955). Partial Ordering in the Theory of Martingales. Annals of Mathematics. 62(1). 162–162. 13 indexed citations
12.
Bochner, S.. (1954). Positive Zonal Functions on Spheres. Proceedings of the National Academy of Sciences. 40(12). 1141–1147. 48 indexed citations
13.
Bochner, S.. (1953). Length of Random Paths on General Homogeneous Spaces. Annals of Mathematics. 57(2). 309–309. 2 indexed citations
14.
Bochner, S.. (1952). On the addition theorem for multiply periodic functions. Proceedings of the American Mathematical Society. 3(1). 99–106. 2 indexed citations
15.
Bochner, S.. (1952). Partial Differential Equations and Analytic Continuations. Proceedings of the National Academy of Sciences. 38(3). 227–230. 6 indexed citations
16.
Bochner, S.. (1951). A New Viewpoint in Differential Geometry. Canadian Journal of Mathematics. 3. 460–470. 7 indexed citations
17.
Bochner, S.. (1951). Tensor Fields with Finite Bases. Annals of Mathematics. 53(3). 400–400. 5 indexed citations
18.
Bochner, S.. (1951). Complex Spaces With Transitive Commutative Groups of Transformations. Proceedings of the National Academy of Sciences. 37(6). 356–359. 1 indexed citations
19.
Bochner, S.. (1951). Theta Relations with Spherical Harmonics. Proceedings of the National Academy of Sciences. 37(12). 804–808. 39 indexed citations
20.
Bochner, S.. (1951). Some Properties of Modular Relations. Annals of Mathematics. 53(2). 332–332. 45 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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