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 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.
, Ann. Sci. Ecole Norm. Sup., vol. 17, 1984, pp. 157–189.
with Ronald Coifman, Yves Meyer: , Adv.in Math., vol. 48, 1983, pp. 144–148.
Morceaux de graphes lipschitziens et intégrales singulières sur une surface, Rev. Mat. Iberoamericana, vol. 4, 1988, pp. 73–114.
with J. L. Journé, S. Semmes: Opérateurs de Calderon-Zygmund, fonctions para-accrétives et interpolation, Rev. Mat. Iberoamericana, vol. 1, 1985, pp. 1–56.
with Jean-Lin Journé: A boundedness criterion for generalized Calderón-Zygmund operators, Ann. of Math. , vol. 120, 1984, pp. 371–397
-arcs for minimizers of the Mumford-Shah functional, SIAM J. Appl. Math., Band 56, 1996, pp. 783–888
Unrectifiable 1-sets have vanishing analytic capacity, Rev. Mat. Iberoamericana, vol. 14, 1998, pp. 369–479
with Pertti Mattila: Removable sets for Lipschitz harmonic functions in the plane, Rev. Mat. Iberoamericana, vol. 16, 2000, pp. 137–215
, in: Charles Fefferman, Alexandru D. Ionescu, D. H. Phong, Stephen Wainger, Advances in Analysis: The Legacy of Elias M. Stein, Princeton University Press 2014, pp. 108–145.
