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Yves F. Meyer (; born 19 July 1939) is a French
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...
. He is among the progenitors of
wavelet A wavelet is a wave-like oscillation with an amplitude that begins at zero, increases or decreases, and then returns to zero one or more times. Wavelets are termed a "brief oscillation". A taxonomy of wavelets has been established, based on the num ...
theory, having proposed the
Meyer wavelet The Meyer wavelet is an orthogonal wavelet proposed by Yves Meyer. As a type of a continuous wavelet, it has been applied in a number of cases, such as in adaptive filters, fractal random fields, and multi-fault classification. The Meyer wavelet i ...
. Meyer was awarded the
Abel Prize The Abel Prize ( ; no, Abelprisen ) is awarded annually by the King of Norway to one or more outstanding mathematicians. It is named after the Norwegian mathematician Niels Henrik Abel (1802–1829) and directly modeled after the Nobel Prizes. ...
in 2017.


Biography

Born in Paris to a
Jewish Jews ( he, יְהוּדִים, , ) or Jewish people are an ethnoreligious group and nation originating from the Israelites Israelite origins and kingdom: "The first act in the long drama of Jewish history is the age of the Israelites""The ...
family, Yves Meyer studied at the Lycée Carnot in
Tunis ''Tounsi'' french: Tunisois , population_note = , population_urban = , population_metro = 2658816 , population_density_km2 = , timezone1 = CET , utc_offset1 ...
; he won the French General Student Competition (
Concours Général In France, the Concours Général is the most prestigious academic competition held every year between students of ''Première'' (11th grade) and ''Terminale'' (12th and final grade) in almost all subjects taught in both general, technological and ...
) in Mathematics, and was placed first in the entrance examination for the
École Normale Supérieure École may refer to: * an elementary school in the French educational stages normally followed by secondary education establishments (collège and lycée) * École (river), a tributary of the Seine flowing in région Île-de-France * École, Savoi ...
in 1957. He obtained his Ph.D. in 1966, under the supervision of
Jean-Pierre Kahane Jean-Pierre Kahane (11 December 1926 – 21 June 2017) was a French mathematician with contributions to harmonic analysis. Career Kahane attended the École normale supérieure and obtained the ''agrégation'' of mathematics in 1949. He then wor ...
. The Mexican historian
Jean Meyer Jean Meyer Barth (born February 8, 1942) is a French-Mexican historian and author, known for his writings on early 20th-century Mexican history. He has published extensively on the Mexican Revolution and Cristero War, the history of Nayarit, and ...
is his cousin. Yves Meyer taught at the
Prytanée national militaire The Prytanée national militaire is a French military school managed by the French military, offering regular secondary education as well as special preparatory classes, equivalent in level to the first years of university, for students who wish ...
during his military service (1960–1963), then was a teaching assistant at the
Université de Strasbourg The University of Strasbourg (french: Université de Strasbourg, Unistra) is a public research university located in Strasbourg, Alsace, France, with over 52,000 students and 3,300 researchers. The French university traces its history to the ea ...
(1963–1966), a professor at
Université Paris-Sud Paris-Sud University (French: ''Université Paris-Sud''), also known as University of Paris — XI (or as Université d'Orsay before 1971), was a French research university distributed among several campuses in the southern suburbs of Paris, in ...
(1966–1980), a professor at
École Polytechnique École may refer to: * an elementary school in the French educational stages normally followed by secondary education establishments (collège and lycée) * École (river), a tributary of the Seine flowing in région Île-de-France * École, Savoi ...
(1980–1986), a professor at
Université Paris-Dauphine Paris Dauphine University - PSL (french: Université Paris-Dauphine, also known as Paris Dauphine - PSL or Dauphine - PSL) is a public research university based in Paris, France. It is one of the 13 universities formed by the division of the ancie ...
(1985–1995), a senior researcher at the
Centre national de la recherche scientifique The French National Centre for Scientific Research (french: link=no, Centre national de la recherche scientifique, CNRS) is the French state research organisation and is the largest fundamental science Basic research, also called pure research o ...
(CNRS) (1995–1999), an invited professor at the
Conservatoire National des Arts et Métiers A music school is an educational institution specialized in the study, training, and research of music. Such an institution can also be known as a school of music, music academy, music faculty, college of music, music department (of a larger in ...
(2000), a professor at
École Normale Supérieure de Cachan École may refer to: * an elementary school in the French educational stages normally followed by secondary education Secondary education or post-primary education covers two phases on the International Standard Classification of Education scal ...
(1999–2003), and has been a professor emeritus at Ecole Normale Supérieure de Cachan since 2004. He was awarded the 2010 Gauss Prize for fundamental contributions to
number theory Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic function, integer-valued functions. German mathematician Carl Friedrich Gauss (1777 ...
,
operator theory In mathematics, operator theory is the study of linear operators on function spaces, beginning with differential operators and integral operators. The operators may be presented abstractly by their characteristics, such as bounded linear operators ...
and
harmonic analysis Harmonic analysis is a branch of mathematics concerned with the representation of Function (mathematics), functions or signals as the Superposition principle, superposition of basic waves, and the study of and generalization of the notions of Fo ...
, and his pivotal role in the development of wavelets and
multiresolution analysis A multiresolution analysis (MRA) or multiscale approximation (MSA) is the design method of most of the practically relevant discrete wavelet transforms (DWT) and the justification for the algorithm of the fast wavelet transform (FWT). It was introd ...
. He also received the 2017 
Abel Prize The Abel Prize ( ; no, Abelprisen ) is awarded annually by the King of Norway to one or more outstanding mathematicians. It is named after the Norwegian mathematician Niels Henrik Abel (1802–1829) and directly modeled after the Nobel Prizes. ...
"for his pivotal role in the development of the mathematical theory of wavelets."


Publications

* * * *


Awards and recognitions

* He is a member of the
Académie des Sciences The French Academy of Sciences (French: ''Académie des sciences'') is a learned society, founded in 1666 by Louis XIV at the suggestion of Jean-Baptiste Colbert, to encourage and protect the spirit of French scientific research. It was at the ...
since 1993. * Meyer was an Invited Speaker at the ICM in 1970 in Nice, in 1983 in Warsaw, and in 1990 in Kyoto. * In 2010, Yves Meyer was awarded the
Carl Friedrich Gauss Prize The Carl Friedrich Gauss Prize for Applications of Mathematics is a mathematics award, granted jointly by the International Mathematical Union and the German Mathematical Society for "outstanding mathematical contributions that have found significa ...
. * In 2012 he became a fellow of the
American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...
. * In 2017 he was awarded the
Abel Prize The Abel Prize ( ; no, Abelprisen ) is awarded annually by the King of Norway to one or more outstanding mathematicians. It is named after the Norwegian mathematician Niels Henrik Abel (1802–1829) and directly modeled after the Nobel Prizes. ...
for his pivotal role in developing the mathematical theory of wavelets. * In 2020 he received the
Princess of Asturias Award The Princess of Asturias Awards ( es, Premios Princesa de Asturias, links=no, ast, Premios Princesa d'Asturies, links=no), formerly the Prince of Asturias Awards from 1981 to 2014 ( es, Premios Príncipe de Asturias, links=no), are a series of a ...
for Technical and Scientific Research.


See also

*
Wavelet A wavelet is a wave-like oscillation with an amplitude that begins at zero, increases or decreases, and then returns to zero one or more times. Wavelets are termed a "brief oscillation". A taxonomy of wavelets has been established, based on the num ...
* Alex Grossmann *
Meyer wavelet The Meyer wavelet is an orthogonal wavelet proposed by Yves Meyer. As a type of a continuous wavelet, it has been applied in a number of cases, such as in adaptive filters, fractal random fields, and multi-fault classification. The Meyer wavelet i ...
*
Compressed sensing Compressed sensing (also known as compressive sensing, compressive sampling, or sparse sampling) is a signal processing technique for efficiently acquiring and reconstructing a Signal (electronics), signal, by finding solutions to Underdetermined ...
*
Harmonious set In mathematics, a harmonious set is a subset of a locally compact abelian group on which every weak character may be uniformly approximated by strong characters. Equivalently, a suitably defined dual set is relatively dense in the Pontryagin dual o ...
*
JPEG 2000 JPEG 2000 (JP2) is an image compression standard and coding system. It was developed from 1997 to 2000 by a Joint Photographic Experts Group committee chaired by Touradj Ebrahimi (later the JPEG president), with the intention of superseding the ...
*
Meyer set In mathematics, a Meyer set or almost lattice is a set relatively dense ''X'' of points in the Euclidean plane or a higher-dimensional Euclidean space such that its Minkowski difference with itself is uniformly discrete. Meyer sets have several ...
*
Ingrid Daubechies Baroness Ingrid Daubechies ( ; ; born 17 August 1954) is a Belgian physicist and mathematician. She is best known for her work with wavelets in image compression. Daubechies is recognized for her study of the mathematical methods that enhance ...
* Jean Morlet


References


External links


Société Mathématiques de France : Lecture by Yves Meyer (2009)
*
Gauss prize 2010
{{DEFAULTSORT:Meyer, Yves 1939 births Living people French mathematicians 20th-century French Jews École Normale Supérieure alumni Scientists from Paris Members of the French Academy of Sciences Fellows of the American Mathematical Society Foreign associates of the National Academy of Sciences Mathematical analysts Abel Prize laureates Academic staff of the University of Paris Academic staff of École Polytechnique Academic staff of Paris-Sud University