Georges Giraud
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| Georges Giraud | |
|---|---|
| Born |
11 July 1889 Saint-Étienne[1] |
| Died |
16 March 1943 (aged 53) Bonny-sur-Loire |
| Nationality | French |
| Institutions | Université Clermont-Ferrand (now Université Blaise Pascal). |
| Alma mater | École Normale Supérieure 1915 |
| Doctoral advisor | Charles Émile Picard |
| Known for |
potential theory partial differential equations singular integrals singular integral equations |
| Notable awards |
Prix Gustave Roux (1922) Hirn Foundation prize (1925 and 1935) Grand Prix for mathematical sciences (1928) Prix Houllevigue (1930) Prix Saintour (1933) Prize of the Annali della Reale Scuola Normale Superiore di Pisa (1935) |
Georges Giraud (11 July 1889 – 16 March 1943) was a French mathematician, working in potential theory, partial differential equations, singular integrals and singular integral equations: he is mainly known for his solution of the regular oblique derivative problem and also for his extension to 
-dimensional (≥2) singular integral equations of the concept of symbol of a singular integral, previously introduced by Solomon Mikhlin.[2] He was elected corresponding member of the French Academy of Sciences in 1936,[3] while he was a member of the Société Mathématique de France from 1913 to his death.[4]
Selected publications
- Giraud, Georges (1934), "Équations à intégrales principales; étude suivie d'une application", Annales Scientifiques de l'École Normale Supérieure, 3 (in French) 51: 251–372, MR 1509344, Zbl 0011.21604, available at NUMDAM. This is one of the first papers, together with independent works of Francesco Tricomi and Solomon Mikhlin, dealing with the multidimensional theory of singular integrals.
- Bouligand, G.; Giraud, G.; Delens, P. (1935), Le problème de la dérivée oblique en théorie du potentiel, Actualités Scientifiques et Industrielles (in French), No. 219 (6), Paris: Hermann, p. 78, JFM 61.1263.01, Zbl 0012.16605, reviewed also by Murnaghan, F. D. (1936), "Review: G. Bouligand, G. Giraud and P. Delens, Le Problème de la Dérivée Oblique en Thornie du Potentiel", Bulletin of the American Mathematical Society 42 (no. 11): 794, doi:10.1090/S0002-9904-1936-06438-4.
- Ascoli, G.; Burgatti, P.; Giraud, G. (1936), Equazioni alle derivate parziali dei tipi ellittico e parabolico (in Italian), Firenze: Sansoni Editore, pp. IV + 186, JFM 62.0547.04 (available from the "Edizione Nazionale Mathematica Italiana"). A book collecting the winning papers of the 1935 prize of the Annali della Reale Scuola Normale Superiore di Pisa. An English translation of the title reads as:-"Partial differential equations of elliptic and parabolic type".
- Giraud, Georges (29 June 1936), "Sur une classe générale d'équations à intégrales principales", Comptes rendus hebdomadaires des séances de l'Académie des sciences (in French) (Paris) 202: 2124–2127, JFM 62.0498.01, Zbl 0014.30903, available at Gallica. In this short note, Giraud extends (without proof) the formula for the composition of two 2-dimensional singular integral operators using their symbols, introduced shortly before by Solomon Grigor'evich Mikhlin, to higher dimensional singular integrals.
See also
- Cauchy principal value
- Oblique derivative problem
- Potential theory
- Singular integral
Notes
- ↑ According to the "Georges Giraud" entry in the Enciclopedia Treccani.
- ↑ He announced his result in the short communication Giraud 1936, without proof and aknowledging the previous work of Mikhlin. As a matter of fact, it was Mikhlin who gave the first proofs of these formulas, completing his work on the 2-dimensional theory: see the reference Mikhlin 1965, p. 9 or the entry "Singular integrals" for a comprehensive historical survey.
- ↑ See the obituary notice by Cartan (1943, p. 518).
- ↑ See the reference SMF 1946, p. 2.
Biographical references
- Cartan, Élie (14 April 1943), "Notice necrologique sur Georges Giraud", Comptes rendus hebdomadaires des séances de l'Académie des sciences (in French) (Paris) 216: 516–518, MR 0010144, Zbl 0028.19503, available at Gallica.
The following references contain short announcements of the prizes won by Georges Giraud.
- AMS (1924), "Notes", Bulletin of the American Mathematical Society 30 (5–6): 280–284, doi:10.1090/S0002-9904-1924-03925-1
- AMS (1925), "Notes", Bulletin of the American Mathematical Society 31 (5–6): 280–284, doi:10.1090/S0002-9904-1925-04060-4
- AMS (1929), "Notes", Bulletin of the American Mathematical Society 35 (2): 279–283, doi:10.1090/S0002-9904-1929-04731-1
- AMS (1931), "Notes", Bulletin of the American Mathematical Society 37 (3): 157–163, doi:10.1090/S0002-9904-1931-05122-3
- AMS (1934), "Notes", Bulletin of the American Mathematical Society 40 (3): 204–208, doi:10.1090/S0002-9904-1934-05817-8
- AMS (1935), "Notes", Bulletin of the American Mathematical Society 41 (3): 177–181, doi:10.1090/S0002-9904-1935-06071-9
- AMS (1936), "Notes", Bulletin of the American Mathematical Society 42 (3): 172–175, doi:10.1090/S0002-9904-1936-06270-1
The following reference lists Georges Giraud between the deceased members of the French Mathematical Society:
- SMF (1946), "Vie de la société", Bulletin de la Société Mathématique de France (in French) 74: 1–3, available at NUMDAM.
References
- Istituto dell'Enciclopedia Italiana (2008), "Giraud, Georges", Enciclopedia Treccani (in Italian), retrieved 16 November 2012. The biographical entry about Georges Giraud at the Enciclopedia Treccani.
- Mikhlin, Solomon G. (1965), Multidimensional singular integrals and integral equations, International Series of Monographs in Pure and Applied Mathematics 83, Oxford-London-Edinburgh-New York-Paris-Frankfurt: Pergamon Press, pp. XII+255, MR 0185399, Zbl 0129.07701. A masterpiece in the multidimensional theory of singular integrals and singular integral equations summarizing all the results from the beginning to the year of publication, and also sketching the history of the subject.
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