I. I. Hirschman

1.7k total citations
55 papers, 1.0k citations indexed

About

I. I. Hirschman is a scholar working on Applied Mathematics, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, I. I. Hirschman has authored 55 papers receiving a total of 1.0k indexed citations (citations by other indexed papers that have themselves been cited), including 29 papers in Applied Mathematics, 21 papers in Mathematical Physics and 11 papers in Computational Theory and Mathematics. Recurrent topics in I. I. Hirschman's work include Algebraic and Geometric Analysis (12 papers), Holomorphic and Operator Theory (9 papers) and Mathematical functions and polynomials (9 papers). I. I. Hirschman is often cited by papers focused on Algebraic and Geometric Analysis (12 papers), Holomorphic and Operator Theory (9 papers) and Mathematical functions and polynomials (9 papers). I. I. Hirschman collaborates with scholars based in United States and Germany. I. I. Hirschman's co-authors include Richard Askey, D. V. Widder, Allen Devinatz, Richard Rochberg, Glen Baxter, Edwin Hewitt, Yitzhak Katznelson and Edward N. Wilson and has published in prestigious journals such as Annals of Mathematics, Lecture notes in mathematics and Journal of Mathematical Analysis and Applications.

In The Last Decade

I. I. Hirschman

40 papers receiving 679 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
I. I. Hirschman United States	16	545	325	227	186	172	55	1.0k
Robert Schatten United States	5	319 0.6×	361 1.1×	154 0.7×	189 1.0×	115 0.7×	6	791
Karl Gustafson United States	20	427 0.8×	440 1.4×	177 0.8×	482 2.6×	177 1.0×	119	1.3k
Hisaharu Umegaki Japan	10	475 0.9×	341 1.0×	394 1.7×	389 2.1×	294 1.7×	29	1.4k
Peter Lesky Germany	9	498 0.9×	114 0.4×	265 1.2×	145 0.8×	291 1.7×	23	869
H. J. Brascamp United States	9	534 1.0×	353 1.1×	79 0.3×	216 1.2×	98 0.6×	12	914
Werner Greub Canada	10	254 0.5×	276 0.8×	69 0.3×	158 0.8×	128 0.7×	17	887
Georgiĭ Evgenʹevich Shilov Israel	11	278 0.5×	280 0.9×	59 0.3×	142 0.8×	76 0.4×	29	700
Harold S. Shapiro Sweden	18	709 1.3×	351 1.1×	73 0.3×	243 1.3×	48 0.3×	66	1.3k
W. Forrest Stinespring United States	9	399 0.7×	744 2.3×	533 2.3×	199 1.1×	176 1.0×	15	1.5k
Theodor Bröcker Germany	6	262 0.5×	455 1.4×	93 0.4×	117 0.6×	205 1.2×	10	1.1k

Countries citing papers authored by I. I. Hirschman

Since Specialization

Citations

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

Fields of papers citing papers by I. I. Hirschman

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of I. I. Hirschman

This figure shows the co-authorship network connecting the top 25 collaborators of I. I. Hirschman. A scholar is included among the top collaborators of I. I. Hirschman 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 I. I. Hirschman. I. I. Hirschman is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Hirschman, I. I., et al.. (1982). Szego Limit Theorems for Toeplitz Operators on Compact Homogeneous Spaces. Transactions of the American Mathematical Society. 270(2). 351–351.

Hirschman, I. I.. (1974). Eigen values of Toeplitz operators on SU(2). Duke Mathematical Journal. 41(1). 1 indexed citations

Hirschman, I. I.. (1967). The spectra of certain Toeplitz matrices. Illinois Journal of Mathematics. 11(1). 31 indexed citations

Hirschman, I. I.. (1966). Szegö Polynomials on a Compact Group with Ordered Dual. Canadian Journal of Mathematics. 18. 538–560. 3 indexed citations

Hirschman, I. I., et al.. (1965). La transformation de convolution. Gauthier-Villars eBooks. 1 indexed citations

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

Hirschman, I. I.. (1965). Finite sections of Wiener-Hopf equations and Szegö polynomials. Journal of Mathematical Analysis and Applications. 11. 290–320. 14 indexed citations

Hirschman, I. I.. (1964). Finite section Wiener-Hopf equations on a compact group with ordered dual. Bulletin of the American Mathematical Society. 70(4). 508–510. 3 indexed citations

Hirschman, I. I.. (1964). Extreme eigen values of Toeplitz forms associated with Jacobi polynomials. Pacific Journal of Mathematics. 14(1). 107–161. 38 indexed citations

10.

Hirschman, I. I.. (1964). Extreme eigenvalues of Toeplitz forms associated with orthogonal polynomials. Journal d Analyse Mathématique. 12(1). 187–242. 4 indexed citations

11.

Hirschman, I. I.. (1963). Laguerre transforms. Duke Mathematical Journal. 30(3). 4 indexed citations

12.

Hirschman, I. I.. (1960). Variation diminishing transformations and ultraspherical polynomials. Journal d Analyse Mathématique. 8(1). 337–360. 12 indexed citations

13.

Hirschman, I. I.. (1960). Hankel transforms and variation diminishing Kernels. Bulletin of the American Mathematical Society. 66(1). 40–42. 3 indexed citations

14.

Hirschman, I. I.. (1959). A maximal problem in harmonic analysis. II. Pacific Journal of Mathematics. 9(2). 525–540. 25 indexed citations

15.

Hirschman, I. I.. (1957). Projections Associated with Jacobi Polynomials. Proceedings of the American Mathematical Society. 8(2). 286–286. 5 indexed citations

16.

Hirschman, I. I.. (1957). Projections associated with Jacobi polynomials. Proceedings of the American Mathematical Society. 8(2). 286–290. 5 indexed citations

17.

Hirschman, I. I.. (1956). A note on orthogonal systems. Pacific Journal of Mathematics. 6(1). 47–56. 31 indexed citations

18.

Hewitt, Edwin & I. I. Hirschman. (1954). A Maximum Problem in Harmonic Analysis. American Journal of Mathematics. 76(4). 839–839. 7 indexed citations

19.

Hirschman, I. I.. (1952). A convexity theorem for certain groups of transformations. Journal d Analyse Mathématique. 2(2). 209–218. 35 indexed citations

20.

Hirschman, I. I.. (1951). The Behavior at Infinity of Certain Convolution Transforms. Transactions of the American Mathematical Society. 70(1). 1–1. 1 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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