Louis de Branges

3.3k total citations · 1 hit paper
77 papers, 1.9k citations indexed

About

Louis de Branges is a scholar working on Applied Mathematics, Mathematical Physics and Geometry and Topology. According to data from OpenAlex, Louis de Branges has authored 77 papers receiving a total of 1.9k indexed citations (citations by other indexed papers that have themselves been cited), including 46 papers in Applied Mathematics, 31 papers in Mathematical Physics and 20 papers in Geometry and Topology. Recurrent topics in Louis de Branges's work include Holomorphic and Operator Theory (27 papers), Meromorphic and Entire Functions (21 papers) and Algebraic and Geometric Analysis (15 papers). Louis de Branges is often cited by papers focused on Holomorphic and Operator Theory (27 papers), Meromorphic and Entire Functions (21 papers) and Algebraic and Geometric Analysis (15 papers). Louis de Branges collaborates with scholars based in United States. Louis de Branges's co-authors include James Rovnyak, Israel Gohberg and Richard Bolstein and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Transactions of the American Mathematical Society and Advances in Mathematics.

In The Last Decade

Louis de Branges

68 papers receiving 1.5k citations

Hit Papers

A proof of the Bieberbach conjecture 1985 2026 1998 2012 1985 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. A proof of the Bieberbach conjecture
    1985 541 citations Louis de Branges profile →

Peers

Louis de Branges
W. K. Hayman United Kingdom
Olli Lehto Finland
F. W. Gehring United States
M. K. Vamanamurthy New Zealand
Олли Мартио Finland
John Wermer United States
Lawrence A. Fialkow United States
Saminathan Ponnusamy India
Max Koecher Germany
J. J. Koliha Australia
W. K. Hayman United Kingdom
Louis de Branges
Citations per year, relative to Louis de Branges Louis de Branges (= 1×) peers W. K. Hayman

Countries citing papers authored by Louis de Branges

Since Specialization
Citations

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

Fields of papers citing papers by Louis de Branges

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Louis de Branges. 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 Louis de Branges. The network helps show where Louis de Branges may publish in the future.

Co-authorship network of co-authors of Louis de Branges

This figure shows the co-authorship network connecting the top 25 collaborators of Louis de Branges. A scholar is included among the top collaborators of Louis de Branges 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 Louis de Branges. Louis de Branges 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.
Branges, Louis de. (1992). The convergence of Euler products. Journal of Functional Analysis. 107(1). 122–210. 13 indexed citations
2.
Branges, Louis de. (1991). A construction of Krein spaces of analytic functions. Journal of Functional Analysis. 98(1). 1–41. 4 indexed citations
3.
Branges, Louis de. (1988). Underlying concepts in the proof of the Bieberbach conjecture. American Mathematical Society eBooks. 9 indexed citations
4.
Branges, Louis de. (1984). 5.10. Local operators on Fourier transforms. Journal of Mathematical Sciences. 26(5). 2271–2271. 2 indexed citations
5.
Branges, Louis de. (1981). Coefficient estimates. Journal of Mathematical Analysis and Applications. 82(2). 420–450. 4 indexed citations
6.
Branges, Louis de. (1979). Vectorial topology. Journal of Mathematical Analysis and Applications. 69(2). 443–454. 1 indexed citations
7.
Branges, Louis de. (1977). Perturbation theory. Journal of Mathematical Analysis and Applications. 57(2). 393–415. 2 indexed citations
8.
Branges, Louis de. (1974). Coefficients of modular forms. Journal of Mathematical Analysis and Applications. 45(2). 300–323. 3 indexed citations
9.
Branges, Louis de. (1973). Hankel spaces of entire functions. Journal of Mathematical Analysis and Applications. 41(2). 352–372.
10.
Branges, Louis de. (1972). Tensor product spaces. Journal of Mathematical Analysis and Applications. 38(1). 109–148. 14 indexed citations
11.
Branges, Louis de. (1972). Modular expansions. Journal of Mathematical Analysis and Applications. 40(2). 303–326. 2 indexed citations
12.
Branges, Louis de. (1970). Factorization and invariant subspaces. Journal of Mathematical Analysis and Applications. 29(1). 163–200. 13 indexed citations
13.
Bolstein, Richard & Louis de Branges. (1970). Jacobi spaces of entire functions. Journal of Mathematical Analysis and Applications. 29(3). 589–632. 1 indexed citations
14.
Branges, Louis de. (1968). Hilbert spaces of entire functions. CERN Document Server (European Organization for Nuclear Research). 256 indexed citations
15.
Branges, Louis de, et al.. (1968). Perturbations of unitary transformations. Journal of Mathematical Analysis and Applications. 23(2). 294–326. 12 indexed citations
16.
Branges, Louis de. (1965). Some Hilbert spaces of analytic functions. III. Journal of Mathematical Analysis and Applications. 12(2). 149–186. 20 indexed citations
17.
Branges, Louis de. (1964). Self-reciprocal functions. Journal of Mathematical Analysis and Applications. 9(3). 433–457. 15 indexed citations
18.
Branges, Louis de. (1963). Some Applications of Spaces of Entire Functions. Canadian Journal of Mathematics. 15. 563–583. 8 indexed citations
19.
Branges, Louis de. (1961). Some Hilbert Spaces of Entire Functions. III. Transactions of the American Mathematical Society. 100(1). 73–73. 7 indexed citations
20.
Branges, Louis de. (1960). Some Hilbert spaces of entire functions. Transactions of the American Mathematical Society. 96(2). 259–295. 63 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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