Carl Herz

2.2k total citations
36 papers, 1.3k citations indexed

About

Carl Herz is a scholar working on Mathematical Physics, Applied Mathematics and Statistics and Probability. According to data from OpenAlex, Carl Herz has authored 36 papers receiving a total of 1.3k indexed citations (citations by other indexed papers that have themselves been cited), including 21 papers in Mathematical Physics, 16 papers in Applied Mathematics and 7 papers in Statistics and Probability. Recurrent topics in Carl Herz's work include Advanced Banach Space Theory (10 papers), Approximation Theory and Sequence Spaces (6 papers) and Advanced Harmonic Analysis Research (5 papers). Carl Herz is often cited by papers focused on Advanced Banach Space Theory (10 papers), Approximation Theory and Sequence Spaces (6 papers) and Advanced Harmonic Analysis Research (5 papers). Carl Herz collaborates with scholars based in Canada, United States and France. Carl Herz's co-authors include N. M. Rivière and K. de Leeuw and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Annals of Mathematics and Transactions of the American Mathematical Society.

In The Last Decade

Carl Herz

32 papers receiving 1.0k citations

Peers

Carl Herz
S. K. Berberian United States
J. J. Uhl United States
R. Creighton Buck United States
Léopoldo Nachbin United States
Per Enflo United States
William F. Donoghue United States
Peter Fillmore Canada
Stanisław Kwapień Poland
Yoav Benyamini Israel
Hermann König Germany
S. K. Berberian United States
Carl Herz
Citations per year, relative to Carl Herz Carl Herz (= 1×) peers S. K. Berberian

Countries citing papers authored by Carl Herz

Since Specialization
Citations

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

Fields of papers citing papers by Carl Herz

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Carl Herz

This figure shows the co-authorship network connecting the top 25 collaborators of Carl Herz. A scholar is included among the top collaborators of Carl Herz 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 Carl Herz. Carl Herz 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.
Herz, Carl. (1991). The Derivative of the Exponential Map. Proceedings of the American Mathematical Society. 112(3). 909–909. 2 indexed citations
2.
Herz, Carl. (1991). The derivative of the exponential map. Proceedings of the American Mathematical Society. 112(3). 909–911. 1 indexed citations
3.
Herz, Carl. (1990). Representations of Lie Groups By Contact Transformations, I: Compact Groups. Canadian Mathematical Bulletin. 33(4). 369–375.
4.
Herz, Carl. (1988). Splitting intervals. Statistics & Probability Letters. 7(1). 3–7. 2 indexed citations
5.
Herz, Carl. (1983). Alternating 3-Forms and Exceptional Simple Lie Groups of Type G2. Canadian Journal of Mathematics. 35(5). 776–806. 3 indexed citations
6.
Herz, Carl, et al.. (1976). Dual functors and integral operators in the category of Banach spaces. Journal of Pure and Applied Algebra. 8(1). 5–22. 3 indexed citations
7.
Herz, Carl. (1976). An interpolation principle for martingale inequalities. Journal of Functional Analysis. 22(1). 1–7. 2 indexed citations
8.
Herz, Carl. (1974). Bounded mean oscillation and regulated martingales. Transactions of the American Mathematical Society. 193(0). 199–215. 49 indexed citations
9.
Herz, Carl. (1974). Une généralisation de la notion de transformée de Fourier-Stieltjes. Annales de l’institut Fourier. 24(3). 145–157. 45 indexed citations
10.
Herz, Carl. (1974). H p -spaces of martingales, 0<p?1. Probability Theory and Related Fields. 28(3). 189–205. 42 indexed citations
11.
Herz, Carl. (1974). Bounded Mean Oscillation and Regulated Martingales. Transactions of the American Mathematical Society. 193. 199–199. 3 indexed citations
12.
Herz, Carl. (1973). Harmonic synthesis for subgroups. Annales de l’institut Fourier. 23(3). 91–123. 167 indexed citations
13.
Herz, Carl. (1971). The Theory of p-Spaces with an Application to Convolution Operators. Transactions of the American Mathematical Society. 154. 69–69. 31 indexed citations
14.
Herz, Carl. (1971). The theory of $p$-spaces with an application to convolution operators.. Transactions of the American Mathematical Society. 154. 69–69. 76 indexed citations
15.
Herz, Carl. (1962). Fourier Transforms Related to Convex Sets. Annals of Mathematics. 75(1). 81–81. 88 indexed citations
16.
Herz, Carl. (1962). On the Number of Lattice Points in a Convex Set. American Journal of Mathematics. 84(1). 126–126. 24 indexed citations
17.
Herz, Carl. (1961). A maximal theorem. Proceedings of the American Mathematical Society. 12(2). 229–233. 4 indexed citations
18.
Herz, Carl. (1960). The spectral theory of bounded functions. Transactions of the American Mathematical Society. 94(2). 181–232. 35 indexed citations
19.
Herz, Carl. (1960). The Spectral Theory of Bounded Functions. Transactions of the American Mathematical Society. 94(2). 181–181. 19 indexed citations
20.
Herz, Carl. (1958). Spectral Synthesis for the Circle. Annals of Mathematics. 68(3). 709–709. 13 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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2026