Yves Meyer

Yves François Meyer ( born July 19, 1939) is a French mathematician who deals with harmonic analysis.

Life and work

Meyer studied 1957-1960 at the Ecole Normale Superieure and was then first school teacher. He received his Ph.D. in 1966 in Strasbourg (where he his own doctoral supervisor was in his own words ), where he taught at the University from 1963. He was, among others, at the University of Paris -Dauphine, at the Ecole Polytechnique and the University of Paris-Sud in Orsay and is currently Professor Emeritus at the CMLA ( Centre de Mathematiques et leurs Applications) normal at the École Supérieure de Cachan.

Meyer has been one of the pioneers of the wavelet transform with Ingrid Daubechies and others in the 1980s. With Stéphane Mallat, he developed the multi-scale approximation ( Multi Resolution Analysis MRA ) using wavelets.

In the early 1970s he developed the theory of model sets in number theory with applications later on quasicrystals and other aperiodic structures. In the 2000s he developed from this theory, a new method of image processing (compressed sensing).

He is a corresponding and full member since 1993, the Academie des Sciences since 1986. In 2010, he received the Carl Friedrich Gauss Prize at the International Congress of Mathematicians in Hyderabad. He is a member of the American Academy of Arts and Sciences and an honorary doctorate from the Universidad Autonoma de Madrid. In 2000 he gave a plenary lecture at the 3rd European Congress of Mathematicians in 2000 in Barcelona ( The role of oscillations in some nonlinear problems ). In 1983 he was invited speaker at the International Congress of Mathematicians in Warsaw ( Intégrales singulières, surgeon multilinéares, analysis complexe et équations aux derivées partially ), 1970 in Nice ( Nombres de Pisot et harmonique analysis ) and 1990 in Kyoto ( wavelets and applications ). He is a Fellow of the American Mathematical Society.

His doctoral include Jean -Paul Allouche and Albert Cohen.

Writings

  • Nombres de Pisot, Nombres de Salem et harmonique analysis ( Cours Peccot at the College de France, 1969), Springer, Lecture Notes in Mathematics Vol 117, 1970
  • Algebraic Numbers and harmonic analysis, North Holland 1972
  • With Ronald Coifman: Ondelettes et surgeon, Paris, Hermann 1990, 1991
  • Wavelets and Operators, Cambridge University Press, Cambridge Studies in Advanced Mathematics, 1992, 1995
  • With Stephane Jaffard, Robert Ryan: Wavelets - tools for science and technology, SIAM 2001
  • Wavelets - algorithms and applications, SIAM 1993
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