Yitzhak Katznelson

5.9k total citations · 2 hit papers
63 papers, 3.1k citations indexed

About

Yitzhak Katznelson is a scholar working on Mathematical Physics, Geometry and Topology and Applied Mathematics. According to data from OpenAlex, Yitzhak Katznelson has authored 63 papers receiving a total of 3.1k indexed citations (citations by other indexed papers that have themselves been cited), including 33 papers in Mathematical Physics, 26 papers in Geometry and Topology and 15 papers in Applied Mathematics. Recurrent topics in Yitzhak Katznelson's work include Advanced Topology and Set Theory (17 papers), Mathematical Dynamics and Fractals (15 papers) and advanced mathematical theories (8 papers). Yitzhak Katznelson is often cited by papers focused on Advanced Topology and Set Theory (17 papers), Mathematical Dynamics and Fractals (15 papers) and advanced mathematical theories (8 papers). Yitzhak Katznelson collaborates with scholars based in United States, Israel and France. Yitzhak Katznelson's co-authors include Guido Weiss, Hillel Fürstenberg, Donald Ornstein, Lior Tzafriri, Benjamin Weiss, Benjamin Weiss, Walter Rudin, Jean‐Pierre Kahane, F. Hahn and Jean Bourgain and has published in prestigious journals such as Transactions of the American Mathematical Society, American Mathematical Monthly and Journal of Functional Analysis.

In The Last Decade

Yitzhak Katznelson

59 papers receiving 2.5k citations

Hit Papers

An Introduction to Harmonic Analysis. 1970 2026 1988 2007 1970 2004 250 500 750 1000
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 Harmonic Analysis.
    1970 1.1k citations Yitzhak Katznelson et al. profile →
  2. An Introduction to Harmonic Analysis
    2004 540 citations Yitzhak Katznelson profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Yitzhak Katznelson United States 21 1.5k 1.1k 796 650 411 63 3.1k
Ralph S. Phillips United States 32 2.1k 1.4× 1.5k 1.3× 932 1.2× 1.2k 1.9× 343 0.8× 91 4.2k
Charles F. Dunkl United States 23 1.5k 1.0× 2.0k 1.8× 729 0.9× 308 0.5× 195 0.5× 113 3.4k
V. S. Varadarajan United States 23 1.8k 1.2× 734 0.7× 1.2k 1.5× 690 1.1× 205 0.5× 81 3.5k
W. J. Thron United States 22 1.1k 0.7× 1.6k 1.5× 1.1k 1.3× 1.5k 2.3× 568 1.4× 87 4.7k
C. A. Rogers United Kingdom 27 695 0.5× 816 0.7× 815 1.0× 571 0.9× 346 0.8× 114 2.4k
Tom H. Koornwinder Netherlands 27 844 0.6× 1.6k 1.4× 768 1.0× 318 0.5× 309 0.8× 99 2.7k
J. W. S. Cassels United Kingdom 25 1.4k 0.9× 571 0.5× 2.0k 2.5× 976 1.5× 335 0.8× 96 3.8k
Peter Borwein Canada 28 615 0.4× 1.6k 1.4× 882 1.1× 810 1.2× 477 1.2× 179 3.7k
P. Túrán Hungary 21 470 0.3× 1.2k 1.1× 427 0.5× 543 0.8× 493 1.2× 77 2.7k
Vitali Milman Israel 30 1.0k 0.7× 1.9k 1.7× 1.1k 1.3× 765 1.2× 311 0.8× 115 3.4k

Countries citing papers authored by Yitzhak Katznelson

Since Specialization
Citations

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

Fields of papers citing papers by Yitzhak Katznelson

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Yitzhak Katznelson

This figure shows the co-authorship network connecting the top 25 collaborators of Yitzhak Katznelson. A scholar is included among the top collaborators of Yitzhak Katznelson 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 Yitzhak Katznelson. Yitzhak Katznelson 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.
Katznelson, Yitzhak, et al.. (2007). A (Terse) Introduction to Linear Algebra. 4 indexed citations
2.
Kahane, Jean‐Pierre & Yitzhak Katznelson. (2007). Entiers aléatoires, ensembles de Sidon, densité dans le groupe de Bohr et ensembles d'analyticité. Comptes Rendus Mathématique. 345(1). 21–24. 3 indexed citations
3.
Fürstenberg, Hillel & Yitzhak Katznelson. (1989). A density version of the Hales-Jewett theorem for k=3. Discrete Mathematics. 75(1-3). 227–241. 17 indexed citations
4.
Katznelson, Yitzhak & Donald Ornstein. (1989). The differentiability of the conjugation of certain diffeomorphisms of the circle. Ergodic Theory and Dynamical Systems. 9(4). 643–680. 79 indexed citations
5.
Katznelson, Yitzhak & Donald Ornstein. (1989). The absolute continuity of the conjugation of certain diffeomorphisms of the circle. Ergodic Theory and Dynamical Systems. 9(4). 681–690. 30 indexed citations
6.
Fürstenberg, Hillel & Yitzhak Katznelson. (1989). Idempotents in compact semigroups and Ramsey theory. Israel Journal of Mathematics. 68(3). 257–270. 47 indexed citations
7.
Katznelson, Yitzhak. (1979). On αβ-sets. Israel Journal of Mathematics. 33(1). 1–4. 8 indexed citations
8.
Katznelson, Yitzhak & O. Carruth McGehee. (1974). Conditionally convergent series in $R^{\infty}$.. The Michigan Mathematical Journal. 21(2). 3 indexed citations
9.
Katznelson, Yitzhak & Benjamin Weiss. (1972). The construction of quasi-invariant measures. Israel Journal of Mathematics. 12(1). 1–4. 17 indexed citations
10.
Katznelson, Yitzhak & Benjamin Weiss. (1972). Commuting measure-preserving transformations. Israel Journal of Mathematics. 12(2). 161–173. 78 indexed citations
11.
Katznelson, Yitzhak, et al.. (1972). Sur les coefficients des séries de Fourier dont les sommes partielles sont positives sur un ensemble. Studia Mathematica. 44(6). 555–562. 1 indexed citations
12.
Katznelson, Yitzhak, et al.. (1971). . Indiana University Mathematics Journal. 21(5). 419–419. 1 indexed citations
13.
Hahn, F. & Yitzhak Katznelson. (1967). On the entropy of uniquely ergodic transformations. Transactions of the American Mathematical Society. 126(2). 335–360. 38 indexed citations
14.
Katznelson, Yitzhak, et al.. (1967). On the Entropy of Uniquely Ergodic Transformations. Transactions of the American Mathematical Society. 126(2). 335–335. 11 indexed citations
15.
Hirschman, I. I. & Yitzhak Katznelson. (1965). Sets of uniqueness and multiplicity forl p,α. Israel Journal of Mathematics. 3(4). 221–231. 5 indexed citations
16.
Katznelson, Yitzhak. (1964). Sets of uniqueness for some classes of trigonometrical series. Bulletin of the American Mathematical Society. 70(5). 722–723. 12 indexed citations
17.
Leeuw, K. de & Yitzhak Katznelson. (1964). On certain homomorphisms of quotients of group algebras. Israel Journal of Mathematics. 2(2). 120–126. 7 indexed citations
18.
Leeuw, K. de & Yitzhak Katznelson. (1963). Functions that operate on non-self-adjoint algebras. Journal d Analyse Mathématique. 11(1). 207–219. 20 indexed citations
19.
Katznelson, Yitzhak. (1960). Sur les algèbres dont les éléments non négatifs admettent des racines carrées. Annales Scientifiques de l École Normale Supérieure. 77(2). 167–174. 8 indexed citations
20.
Helson, Henry, Jean‐Pierre Kahane, Yitzhak Katznelson, & Walter Rudin. (1959). The functions which operate on Fourier transforms. Acta Mathematica. 102(1-2). 135–157. 31 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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