Gérard Bourdaud

1.1k total citations
45 papers, 644 citations indexed

About

Gérard Bourdaud is a scholar working on Applied Mathematics, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Gérard Bourdaud has authored 45 papers receiving a total of 644 indexed citations (citations by other indexed papers that have themselves been cited), including 35 papers in Applied Mathematics, 27 papers in Mathematical Physics and 4 papers in Computational Theory and Mathematics. Recurrent topics in Gérard Bourdaud's work include Advanced Harmonic Analysis Research (30 papers), Mathematical Analysis and Transform Methods (17 papers) and Advanced Banach Space Theory (15 papers). Gérard Bourdaud is often cited by papers focused on Advanced Harmonic Analysis Research (30 papers), Mathematical Analysis and Transform Methods (17 papers) and Advanced Banach Space Theory (15 papers). Gérard Bourdaud collaborates with scholars based in France, Germany and Algeria. Gérard Bourdaud's co-authors include Winfried Sickel, Massimo Lanza de Cristoforis, Yves Meyer, Djalil Kateb and Michael Reissig and has published in prestigious journals such as Transactions of the American Mathematical Society, Inventiones mathematicae and Journal of Functional Analysis.

In The Last Decade

Gérard Bourdaud

45 papers receiving 547 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Gérard Bourdaud France 15 585 408 85 38 37 45 644
G. I. Gaudry Australia 7 282 0.5× 192 0.5× 48 0.6× 29 0.8× 27 0.7× 17 331
Humberto Rafeiro Colombia 13 661 1.1× 360 0.9× 49 0.6× 52 1.4× 41 1.1× 79 721
Pavel Shvartsman Israel 12 264 0.5× 134 0.3× 119 1.4× 90 2.4× 22 0.6× 28 364
Giancarlo Mauceri Italy 17 716 1.2× 529 1.3× 98 1.2× 66 1.7× 20 0.5× 47 816
Sergei Treil United States 17 1.1k 2.0× 654 1.6× 128 1.5× 87 2.3× 84 2.3× 53 1.2k
Karol Baron Poland 11 346 0.6× 170 0.4× 50 0.6× 121 3.2× 59 1.6× 57 405
Gerd Mockenhaupt Germany 10 314 0.5× 267 0.7× 31 0.4× 30 0.8× 28 0.8× 15 386
Richard Bouldin United States 9 199 0.3× 179 0.4× 177 2.1× 24 0.6× 25 0.7× 40 309
Camil Muscalu United States 13 590 1.0× 437 1.1× 44 0.5× 14 0.4× 53 1.4× 27 644
Adam Sikora Australia 17 795 1.4× 673 1.6× 181 2.1× 59 1.6× 14 0.4× 50 921

Countries citing papers authored by Gérard Bourdaud

Since Specialization
Citations

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

Fields of papers citing papers by Gérard Bourdaud

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Gérard Bourdaud

This figure shows the co-authorship network connecting the top 25 collaborators of Gérard Bourdaud. A scholar is included among the top collaborators of Gérard Bourdaud 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 Gérard Bourdaud. Gérard Bourdaud 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.
Bourdaud, Gérard. (2023). AN INTRODUCTION TO COMPOSITION OPERATORS IN SOBOLEV SPACES. SPIRE - Sciences Po Institutional REpository. 14(1). 39–54. 2 indexed citations
2.
Bourdaud, Gérard, et al.. (2019). Continuité des opérateurs de composition sur les espaces de Sobolev. SPIRE - Sciences Po Institutional REpository. 2 indexed citations
3.
Bourdaud, Gérard, et al.. (2016). Composition dans les espaces de Besov critiques. Annales de la faculté des sciences de Toulouse Mathématiques. 25(4). 875–893. 1 indexed citations
4.
Bourdaud, Gérard & Winfried Sickel. (2011). Composition Operators on Function Spaces with Fractional Order of Smoothness (Harmonic Analysis and Nonlinear Partial Differential Equations). Kyoto University Research Information Repository (Kyoto University). 26. 93–132. 3 indexed citations
5.
Bourdaud, Gérard. (2011). La propriété de Fatou dans les espaces de Besov homogènes. Comptes Rendus Mathématique. 349(15-16). 837–840. 2 indexed citations
6.
Bourdaud, Gérard. (2011). Realizations of homogeneous Sobolev spaces. Complex Variables and Elliptic Equations. 56(10-11). 857–874. 7 indexed citations
7.
Bourdaud, Gérard. (2010). Superposition in homogeneous and vector valued Sobolev spaces. Transactions of the American Mathematical Society. 362(11). 6105–6130. 7 indexed citations
8.
Bourdaud, Gérard, et al.. (2010). Composition operators on Lizorkin–Triebel spaces. Journal of Functional Analysis. 259(5). 1098–1128. 18 indexed citations
9.
Bourdaud, Gérard, et al.. (2006). An optimal symbolic calculus on Besov algebras. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 23(6). 949–956. 8 indexed citations
10.
Bourdaud, Gérard. (2006). Une propriété de composition dans l'espace H s (II). Comptes Rendus Mathématique. 342(4). 243–246. 8 indexed citations
11.
Bourdaud, Gérard & Yves Meyer. (2006). Le calcul fonctionnel sous-linéaire dans les espaces de Besov homogènes. Revista Matemática Iberoamericana. 22(2). 725–746. 4 indexed citations
12.
Bourdaud, Gérard. (2005). Une propriété de composition dans l'espace H s . Comptes Rendus Mathématique. 340(3). 221–224. 7 indexed citations
13.
Bourdaud, Gérard, Massimo Lanza de Cristoforis, & Winfried Sickel. (2002). Functional Calculus on BMO and Related Spaces. Journal of Functional Analysis. 189(2). 515–538. 21 indexed citations
14.
Bourdaud, Gérard. (2002). Remarques sur certains sous-espaces de B M O ( n ) et de b m o ( n ) . Annales de l’institut Fourier. 52(4). 1187–1218. 16 indexed citations
15.
Bourdaud, Gérard. (1993). Fonctions qui opèrent sur les espaces de Besov et de Triebel. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 10(4). 413–422. 24 indexed citations
16.
Bourdaud, Gérard & Yves Meyer. (1991). Fonctions qui opèrent sur les espaces de Sobolev. Journal of Functional Analysis. 97(2). 351–360. 38 indexed citations
17.
Bourdaud, Gérard, et al.. (1990). Calcul fonctionnel dans certains espaces de Besov. Annales de l’institut Fourier. 40(1). 153–162. 8 indexed citations
18.
Bourdaud, Gérard. (1987). Une algèbre maximale d'opérateurs pseudo-différentiels de type 1,1. French digital mathematics library (Numdam). 1–17. 1 indexed citations
19.
Bourdaud, Gérard. (1982). Lp-Estimates for certain non-regular eudo-differential operators.. Communications in Partial Differential Equations. 7(9). 1023–1033. 59 indexed citations
20.
Bourdaud, Gérard. (1975). Espaces d'Antoine et semi-espaces d'Antoine. French digital mathematics library (Numdam). 16(2). 107–133. 20 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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