Guy David (mathematician)
Guy David is a French mathematician, specializing in analysis.
Biography
David studied from 1976 to 1981 at the École normale supérieure, graduating with Agrégation and Diplôme d'études approfondies. At the University of Paris-Sud he received in 1981 his doctoral degree and in 1986 his higher doctorate with thesis Noyau de Cauchy et opérateurs de Caldéron-Zygmund supervised by Yves Meyer. David was from 1982 to 1989 an attaché de recherches at the Centre de mathématiques Laurent Schwartz of the CNRS. At the University of Paris-Sud he was from 1989 to 1991 a professor and from 1991 to 2001 a professor first class, and is since 1991 a professor of the Classe exceptionelle.David is known for his research on Hardy spaces and on singular integral equations using the methods of Alberto Calderón. In 1998 David solved a special case of a problem of Vitushkin. Among other topics, David has done research on Painlevé's problem of geometrically characterizing removable singularities for bounded functions; Xavier Tolsa's solution of Painlevé's problem is based upon David's methods. With Jean-Lin Journé he proved in 1984 the T(1) Theorem, for which they jointly received the Salem Prize. The T Theorem is of fundamental importance for the theory of singular integral operators of Calderón-Zygmund type. David also did research on the conjecture of David Mumford and Jayant Shah in image processing and made contributions to the theory of Hardy spaces; the contributions were important for Jones' traveling salesman theorem in . David has written several books in collaboration with Stephen Semmes.
Awards and honors
- 1986 — Invited Speaker, International Congress of Mathematicians, Berkeley, California
- 1987 — Salem Prize
- 1990 — Prix IBM France
- 1999 — Foreign Honorary Member of the American Academy of Arts and Sciences
- 2001 — Silver medal of the CNRS
- 2004 — Ferran Sunyer i Balaguer Prize for the article Singular sets of minimizers for the Mumford-Shah functional.
- 2004 — ''Prix Servant''
Articles
- with Ronald Coifman and Yves Meyer:
- with Jean-Lin Journé and Stephen Semmes:
- with Jean-Lin Journé:
- with Pertti Mattila:
- with Tatiana Toro:
Books
- with Stephen Semmes:, Mathematical Surveys and Monographs 38. American Mathematical Society, Providence, RI, 1993.
- with Stephen Semmes:, Memoirs AMS 2000
- with Stephen Semmes:, Astérisque 193, 1991
- with Stephen Semmes:, Oxford Lecture Series in Mathematics and its Applications 7, Clarendon Press, Oxford 1997
- with Alexis Bonnet, Cracktip is a global Mumford-Shah minimizer, Astérisque 274, 2001
- , Lecture notes in mathematics 1465, Springer 1991
- , Progress in Mathematics, Birkhäuser 2005
- with Tatiana Toro:, Memoirs of the AMS 215, 2012
- with M. Filoche, D. Jerison, S. Mayboroda: A free boundary problem for the localization of eigenfunctions, Astérisque 392, 2017,
- , Astérisque 411, 2019,